365118255040 has 504 divisors, whose sum is σ = 1132976932416. Its totient is φ = 111625113600.

The previous prime is 365118255031. The next prime is 365118255049. The reversal of 365118255040 is 40552811563.

It is an interprime number because it is at equal distance from previous prime (365118255031) and next prime (365118255049).

It is a super-2 number, since 2×365118255040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 365118254984 and 365118255002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365118255049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100554025 + ... + 100557655.

It is an arithmetic number, because the mean of its divisors is an integer number (2247970104).

Almost surely, 2^365118255040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365118255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566488466208).

365118255040 is an abundant number, since it is smaller than the sum of its proper divisors (767858677376).

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

365118255040 is a wasteful number, since it uses less digits than its factorization.

365118255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 365118255040 in words is "three hundred sixty-five billion, one hundred eighteen million, two hundred fifty-five thousand, forty".