368053943040 has 2592 divisors, whose sum is σ = 1709927331840. Its totient is φ = 75246796800.

The previous prime is 368053943003. The next prime is 368053943041. The reversal of 368053943040 is 40349350863.

368053943040 is a `hidden beast` number, since 3 + 6 + 80 + 539 + 4 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (368053943041) 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 287 ways as a sum of consecutive naturals, for example, 8976925420 + ... + 8976925460.

Almost surely, 2^368053943040 is an apocalyptic number.

368053943040 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 368053943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854963665920).

368053943040 is an abundant number, since it is smaller than the sum of its proper divisors (1341873388800).

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

368053943040 is a wasteful number, since it uses less digits than its factorization.

368053943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 368053943040 in words is "three hundred sixty-eight billion, fifty-three million, nine hundred forty-three thousand, forty".