426629025000000 has 2079 divisors, whose sum is σ = 1686216273863857. Its totient is φ = 107075520000000.

The previous prime is 426629024999909. The next prime is 426629025000091. The reversal of 426629025000000 is 520926624.

The square root of 426629025000000 is 20655000.

It is a perfect power (a square), and thus also a powerful number.

426629025000000 is a `hidden beast` number, since 4 + 2 + 6 + 62 + 90 + 2 + 500 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426629024999909) and next prime (426629025000091).

It can be written as a sum of positive squares in 13 ways, for example, as 102857080855104 + 323771944144896 = 10141848^2 + 17993664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 25095824999992 + ... + 25095825000008.

Almost surely, 2^{426629025000000} is an apocalyptic number.

426629025000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

426629025000000 is the 20655000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426629025000000

426629025000000 is an abundant number, since it is smaller than the sum of its proper divisors (1259587248863857).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426629025000000 is an frugal number, since it uses more digits than its factorization.

426629025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

426629025000000 divided by its sum of digits (36) gives a square (11850806250000 = 3442500²).

Adding to 426629025000000 its reverse (520926624), we get a palindrome (426629545926624).

The spelling of 426629025000000 in words is "four hundred twenty-six trillion, six hundred twenty-nine billion, twenty-five million", and thus it is an aban number.