368640000440400 has 120 divisors (see below), whose sum is σ = 1271713478496160. Its totient is φ = 90742153950720.

The previous prime is 368640000440357. The next prime is 368640000440449. The reversal of 368640000440400 is 4044000046863.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×368640000440400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11815369030 + ... + 11815400229.

Almost surely, 2^{368640000440400} is an apocalyptic number.

368640000440400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368640000440400 is an abundant number, since it is smaller than the sum of its proper divisors (903073478055760).

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

368640000440400 is a wasteful number, since it uses less digits than its factorization.

368640000440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630769293 (or 23630769282 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 368640000440400 in words is "three hundred sixty-eight trillion, six hundred forty billion, four hundred forty thousand, four hundred".