402651648000 has 2080 divisors, whose sum is σ = 1830621661440. Its totient is φ = 85996339200.

The previous prime is 402651647911. The next prime is 402651648011. The reversal of 402651648000 is 846156204.

402651648000 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 5 + 1 + 648 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 5515775964 + ... + 5515776036.

It is an arithmetic number, because the mean of its divisors is an integer number (880106568).

Almost surely, 2^402651648000 is an apocalyptic number.

402651648000 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 402651648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915310830720).

402651648000 is an abundant number, since it is smaller than the sum of its proper divisors (1427970013440).

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

402651648000 is an equidigital number, since it uses as much as digits as its factorization.

402651648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 402651648000 in words is "four hundred two billion, six hundred fifty-one million, six hundred forty-eight thousand".