380400653040 has 80 divisors (see below), whose sum is σ = 1179490617888. Its totient is φ = 101418789888.

The previous prime is 380400653011. The next prime is 380400653053. The reversal of 380400653040 is 40356004083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×380400653040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380400652992 and 380400653010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990462 + ... + 1319778.

Almost surely, 2^380400653040 is an apocalyptic number.

380400653040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380400653040 is an abundant number, since it is smaller than the sum of its proper divisors (799089964848).

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

380400653040 is a wasteful number, since it uses less digits than its factorization.

380400653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334146 (or 334140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 380400653040 in words is "three hundred eighty billion, four hundred million, six hundred fifty-three thousand, forty".