363642037440 has 112 divisors (see below), whose sum is σ = 1259523820800. Its totient is φ = 88155642880.

The previous prime is 363642037403. The next prime is 363642037453. The reversal of 363642037440 is 44730246363.

It is a junction number, because it is equal to n+sod(n) for n = 363642037392 and 363642037401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17207340 + ... + 17228459.

It is an arithmetic number, because the mean of its divisors is an integer number (11245748400).

Almost surely, 2^363642037440 is an apocalyptic number.

363642037440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363642037440 is an abundant number, since it is smaller than the sum of its proper divisors (895881783360).

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

363642037440 is a wasteful number, since it uses less digits than its factorization.

363642037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34435830 (or 34435820 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 363642037440 in words is "three hundred sixty-three billion, six hundred forty-two million, thirty-seven thousand, four hundred forty".