40136889960 has 160 divisors (see below), whose sum is σ = 135006422760. Its totient is φ = 10695089664.

The previous prime is 40136889937. The next prime is 40136889977. The reversal of 40136889960 is 6998863104.

It can be written as a sum of positive squares in 4 ways, for example, as 32575196196 + 7561693764 = 180486^2 + 86958^2 .

It is a super-2 number, since 2×40136889960² (a number of 22 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 = 40136889897 and 40136889906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5170402 + ... + 5178158.

Almost surely, 2^40136889960 is an apocalyptic number.

40136889960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40136889960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67503211380).

40136889960 is an abundant number, since it is smaller than the sum of its proper divisors (94869532800).

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

40136889960 is a wasteful number, since it uses less digits than its factorization.

40136889960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

It can be divided in two parts, 40 and 136889960, that added together give a square (136890000 = 11700²).

The spelling of 40136889960 in words is "forty billion, one hundred thirty-six million, eight hundred eighty-nine thousand, nine hundred sixty".