40137443737416 has 96 divisors (see below), whose sum is σ = 111386321930520. Its totient is φ = 13049382297600.

The previous prime is 40137443737403. The next prime is 40137443737439. The reversal of 40137443737416 is 61473734473104.

40137443737416 is a `hidden beast` number, since 4 + 0 + 137 + 4 + 437 + 3 + 74 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9091708440516 + 31045735296900 = 3015246^2 + 5571870^2 .

It is a super-2 number, since 2×40137443737416² (a number of 28 digits) contains 22 as substring.

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, 9404596 + ... + 12989276.

Almost surely, 2^{40137443737416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137443737416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55693160965260).

40137443737416 is an abundant number, since it is smaller than the sum of its proper divisors (71248878193104).

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

40137443737416 is a wasteful number, since it uses less digits than its factorization.

40137443737416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588527 (or 3588520 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 40137443737416 in words is "forty trillion, one hundred thirty-seven billion, four hundred forty-three million, seven hundred thirty-seven thousand, four hundred sixteen".