40368452744160 has 144 divisors (see below), whose sum is σ = 139697589638880. Its totient is φ = 10613302103040.

The previous prime is 40368452744159. The next prime is 40368452744161. The reversal of 40368452744160 is 6144725486304.

40368452744160 is a `hidden beast` number, since 4 + 0 + 3 + 68 + 4 + 527 + 44 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40368452744159) and next prime (40368452744161).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40368452744160² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40368452744097 and 40368452744106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40368452744161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197317815 + ... + 197522294.

It is an arithmetic number, because the mean of its divisors is an integer number (970122150270).

Almost surely, 2^{40368452744160} is an apocalyptic number.

40368452744160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40368452744160 is an abundant number, since it is smaller than the sum of its proper divisors (99329136894720).

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

40368452744160 is a wasteful number, since it uses less digits than its factorization.

40368452744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394840201 (or 394840190 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 40368452744160 in words is "forty trillion, three hundred sixty-eight billion, four hundred fifty-two million, seven hundred forty-four thousand, one hundred sixty".