426377952000 has 4608 divisors, whose sum is σ = 2314187366400. Its totient is φ = 74317824000.

The previous prime is 426377951977. The next prime is 426377952023. The reversal of 426377952000 is 259773624.

426377952000 is a `hidden beast` number, since 4 + 2 + 637 + 7 + 9 + 5 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426377951977) and next prime (426377952023).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 14702687986 + ... + 14702688014.

It is an arithmetic number, because the mean of its divisors is an integer number (502210800).

Almost surely, 2^426377952000 is an apocalyptic number.

426377952000 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 426377952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157093683200).

426377952000 is an abundant number, since it is smaller than the sum of its proper divisors (1887809414400).

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

426377952000 is a wasteful number, since it uses less digits than its factorization.

426377952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 426377952000 in words is "four hundred twenty-six billion, three hundred seventy-seven million, nine hundred fifty-two thousand".