402941952000 has 1200 divisors, whose sum is σ = 1721931539328. Its totient is φ = 91835596800.

The previous prime is 402941951989. The next prime is 402941952013. The reversal of 402941952000 is 259149204.

402941952000 is a `hidden beast` number, since 40 + 2 + 94 + 1 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161215827 + ... + 1161216173.

Almost surely, 2^402941952000 is an apocalyptic number.

402941952000 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 402941952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860965769664).

402941952000 is an abundant number, since it is smaller than the sum of its proper divisors (1318989587328).

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

402941952000 is an frugal number, since it uses more digits than its factorization.

402941952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 402941952000 in words is "four hundred two billion, nine hundred forty-one million, nine hundred fifty-two thousand".