40137464742048 has 96 divisors (see below), whose sum is σ = 117084354246720. Its totient is φ = 13377240771840.

The previous prime is 40137464742013. The next prime is 40137464742059. The reversal of 40137464742048 is 84024746473104.

40137464742048 is a `hidden beast` number, since 4 + 0 + 1 + 374 + 64 + 7 + 4 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40137464742048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40137464741985 and 40137464742003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725743 + ... + 9365073.

It is an arithmetic number, because the mean of its divisors is an integer number (1219628690070).

Almost surely, 2^{40137464742048} is an apocalyptic number.

40137464742048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40137464742048 is an abundant number, since it is smaller than the sum of its proper divisors (76946889504672).

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

40137464742048 is a wasteful number, since it uses less digits than its factorization.

40137464742048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646347 (or 6646333 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 40137464742048 in words is "forty trillion, one hundred thirty-seven billion, four hundred sixty-four million, seven hundred forty-two thousand, forty-eight".