402053652000 has 1536 divisors, whose sum is σ = 1965474201600. Its totient is φ = 77096448000.

The previous prime is 402053651999. The next prime is 402053652037. The reversal of 402053652000 is 256350204.

402053652000 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 5 + 3 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 255 ways as a sum of consecutive naturals, for example, 108106141 + ... + 108109859.

It is an arithmetic number, because the mean of its divisors is an integer number (1279605600).

Almost surely, 2^402053652000 is an apocalyptic number.

402053652000 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 402053652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982737100800).

402053652000 is an abundant number, since it is smaller than the sum of its proper divisors (1563420549600).

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

402053652000 is a wasteful number, since it uses less digits than its factorization.

402053652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 402053652000 in words is "four hundred two billion, fifty-three million, six hundred fifty-two thousand".