40137443286564 has 96 divisors (see below), whose sum is σ = 101645884416384. Its totient is φ = 12253563279360.

The previous prime is 40137443286557. The next prime is 40137443286569. The reversal of 40137443286564 is 46568234473104.

It is a super-2 number, since 2×40137443286564² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40137443286569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118625532 + ... + 118963404.

It is an arithmetic number, because the mean of its divisors is an integer number (1058811296004).

Almost surely, 2^{40137443286564} 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 40137443286564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50822942208192).

40137443286564 is an abundant number, since it is smaller than the sum of its proper divisors (61508441129820).

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

40137443286564 is a wasteful number, since it uses less digits than its factorization.

40137443286564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343837 (or 343835 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 40137443286564 in words is "forty trillion, one hundred thirty-seven billion, four hundred forty-three million, two hundred eighty-six thousand, five hundred sixty-four".