402145742592000 has 1152 divisors, whose sum is σ = 1650043727055360. Its totient is φ = 93251051520000.

The previous prime is 402145742591987. The next prime is 402145742592017. The reversal of 402145742592000 is 295247541204.

402145742592000 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 4 + 57 + 4 + 2 + 592 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×402145742592000² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582567055 + ... + 583256945.

It is an arithmetic number, because the mean of its divisors is an integer number (1432329624180).

Almost surely, 2^{402145742592000} is an apocalyptic number.

402145742592000 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 402145742592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825021863527680).

402145742592000 is an abundant number, since it is smaller than the sum of its proper divisors (1247897984463360).

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

402145742592000 is a wasteful number, since it uses less digits than its factorization.

402145742592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689968 (or 689935 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 402145742592000 in words is "four hundred two trillion, one hundred forty-five billion, seven hundred forty-two million, five hundred ninety-two thousand".