40137013442352 has 160 divisors (see below), whose sum is σ = 110082934241280. Its totient is φ = 12579802583040.

The previous prime is 40137013442321. The next prime is 40137013442363. The reversal of 40137013442352 is 25324431073104.

It is a super-2 number, since 2×40137013442352² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40137013442352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19176577 + ... + 21166367.

It is an arithmetic number, because the mean of its divisors is an integer number (688018339008).

Almost surely, 2^{40137013442352} 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 40137013442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55041467120640).

40137013442352 is an abundant number, since it is smaller than the sum of its proper divisors (69945920798928).

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

40137013442352 is a wasteful number, since it uses less digits than its factorization.

40137013442352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990211 (or 1990205 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 40137013442352 in words is "forty trillion, one hundred thirty-seven billion, thirteen million, four hundred forty-two thousand, three hundred fifty-two".