426734295926400 has 6912 divisors, whose sum is σ = 2145773724192000. Its totient is φ = 80962766438400.

The previous prime is 426734295926387. The next prime is 426734295926413. The reversal of 426734295926400 is 4629592437624.

426734295926400 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 34 + 2 + 9 + 592 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426734295926387) and next prime (426734295926413).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 863 ways as a sum of consecutive naturals, for example, 766129794922 + ... + 766129795478.

It is an arithmetic number, because the mean of its divisors is an integer number (310441800375).

Almost surely, 2^{426734295926400} is an apocalyptic number.

426734295926400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426734295926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072886862096000).

426734295926400 is an abundant number, since it is smaller than the sum of its proper divisors (1719039428265600).

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

426734295926400 is a wasteful number, since it uses less digits than its factorization.

426734295926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 426734295926400 in words is "four hundred twenty-six trillion, seven hundred thirty-four billion, two hundred ninety-five million, nine hundred twenty-six thousand, four hundred".