402025905193920 has 168 divisors, whose sum is σ = 1484829351040464. Its totient is φ = 91891635462144.

The previous prime is 402025905193877. The next prime is 402025905193949. The reversal of 402025905193920 is 29391509520204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 4273187497 + ... + 4273281576.

Almost surely, 2^{402025905193920} is an apocalyptic number.

402025905193920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402025905193920 is an abundant number, since it is smaller than the sum of its proper divisors (1082803445846544).

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

402025905193920 is a wasteful number, since it uses less digits than its factorization.

402025905193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546469107 (or 8546469090 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 402025905193920 in words is "four hundred two trillion, twenty-five billion, nine hundred five million, one hundred ninety-three thousand, nine hundred twenty".