426151027200 has 240 divisors, whose sum is σ = 1425593220480. Its totient is φ = 112200990720.

The previous prime is 426151027163. The next prime is 426151027229. The reversal of 426151027200 is 2720151624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2963362 + ... + 3103838.

It is an arithmetic number, because the mean of its divisors is an integer number (5939971752).

Almost surely, 2^426151027200 is an apocalyptic number.

426151027200 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 426151027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712796610240).

426151027200 is an abundant number, since it is smaller than the sum of its proper divisors (999442193280).

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

426151027200 is a wasteful number, since it uses less digits than its factorization.

426151027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140587 (or 140566 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 426151027200 its reverse (2720151624), we get a palindrome (428871178824).

The spelling of 426151027200 in words is "four hundred twenty-six billion, one hundred fifty-one million, twenty-seven thousand, two hundred".