365906365440 has 1056 divisors, whose sum is σ = 1541745114624. Its totient is φ = 71946731520.

The previous prime is 365906365423. The next prime is 365906365469. The reversal of 365906365440 is 44563609563.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426961492 + ... + 426962348.

It is an arithmetic number, because the mean of its divisors is an integer number (1459985904).

Almost surely, 2^365906365440 is an apocalyptic number.

365906365440 is a gapful number since it is divisible by the number (30) 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 365906365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770872557312).

365906365440 is an abundant number, since it is smaller than the sum of its proper divisors (1175838749184).

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

365906365440 is a wasteful number, since it uses less digits than its factorization.

365906365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 365906365440 in words is "three hundred sixty-five billion, nine hundred six million, three hundred sixty-five thousand, four hundred forty".