361440090 has 64 divisors (see below), whose sum is σ = 1051470720. Its totient is φ = 87621120.

The previous prime is 361440083. The next prime is 361440109. The reversal of 361440090 is 90044163.

361440090 is a `hidden beast` number, since 3 + 614 + 40 + 0 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57879 + ... + 63818.

It is an arithmetic number, because the mean of its divisors is an integer number (16429230).

Almost surely, 2^361440090 is an apocalyptic number.

361440090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

361440090 is an abundant number, since it is smaller than the sum of its proper divisors (690030630).

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

361440090 is a wasteful number, since it uses less digits than its factorization.

361440090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121724 (or 121718 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 361440090 is about 19011.5777882847. The cubic root of 361440090 is about 712.3259630329.

The spelling of 361440090 in words is "three hundred sixty-one million, four hundred forty thousand, ninety".