40137544121076 has 96 divisors (see below), whose sum is σ = 104763175426560. Its totient is φ = 13288876848000.

The previous prime is 40137544121071. The next prime is 40137544121099. The reversal of 40137544121076 is 67012144573104.

40137544121076 is a `hidden beast` number, since 4 + 0 + 1 + 37 + 544 + 1 + 2 + 1 + 0 + 76 = 666.

It is a super-2 number, since 2×40137544121076² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137544121071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43990101 + ... + 44893251.

It is an arithmetic number, because the mean of its divisors is an integer number (1091283077360).

Almost surely, 2^{40137544121076} 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 40137544121076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52381587713280).

40137544121076 is an abundant number, since it is smaller than the sum of its proper divisors (64625631305484).

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

40137544121076 is a wasteful number, since it uses less digits than its factorization.

40137544121076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905942 (or 905934 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40137544121076 in words is "forty trillion, one hundred thirty-seven billion, five hundred forty-four million, one hundred twenty-one thousand, seventy-six".