365379215040 has 896 divisors, whose sum is σ = 1536141281280. Its totient is φ = 80012427264.

The previous prime is 365379215029. The next prime is 365379215087. The reversal of 365379215040 is 40512973563.

365379215040 is a `hidden beast` number, since 3 + 6 + 53 + 7 + 92 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149928702 + ... + 149931138.

Almost surely, 2^365379215040 is an apocalyptic number.

365379215040 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 365379215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768070640640).

365379215040 is an abundant number, since it is smaller than the sum of its proper divisors (1170762066240).

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

365379215040 is a wasteful number, since it uses less digits than its factorization.

365379215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 365379215040 in words is "three hundred sixty-five billion, three hundred seventy-nine million, two hundred fifteen thousand, forty".