364113390240 has 480 divisors, whose sum is σ = 1369088360640. Its totient is φ = 90815717376.

The previous prime is 364113390233. The next prime is 364113390283. The reversal of 364113390240 is 42093311463.

364113390240 is a `hidden beast` number, since 3 + 641 + 1 + 3 + 3 + 9 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 364113390195 and 364113390204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35907091 + ... + 35917229.

It is an arithmetic number, because the mean of its divisors is an integer number (2852267418).

Almost surely, 2^364113390240 is an apocalyptic number.

364113390240 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 364113390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684544180320).

364113390240 is an abundant number, since it is smaller than the sum of its proper divisors (1004974970400).

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

364113390240 is a wasteful number, since it uses less digits than its factorization.

364113390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 3641133 and 90240, that added together give a palindrome (3731373).

The spelling of 364113390240 in words is "three hundred sixty-four billion, one hundred thirteen million, three hundred ninety thousand, two hundred forty".