364345441020 has 144 divisors (see below), whose sum is σ = 1231304675328. Its totient is φ = 86446865280.

The previous prime is 364345440983. The next prime is 364345441051. The reversal of 364345441020 is 20144543463.

364345441020 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 4 + 544 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864524 + ... + 2050643.

It is an arithmetic number, because the mean of its divisors is an integer number (8550726912).

Almost surely, 2^364345441020 is an apocalyptic number.

364345441020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364345441020 is an abundant number, since it is smaller than the sum of its proper divisors (866959234308).

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

364345441020 is a wasteful number, since it uses less digits than its factorization.

364345441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915240 (or 3915235 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 364345441020 its reverse (20144543463), we get a palindrome (384489984483).

The spelling of 364345441020 in words is "three hundred sixty-four billion, three hundred forty-five million, four hundred forty-one thousand, twenty".