40136962320 has 960 divisors, whose sum is σ = 178968545280. Its totient is φ = 8186572800.

The previous prime is 40136962301. The next prime is 40136962321. The reversal of 40136962320 is 2326963104.

40136962320 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 6 + 9 + 623 + 20 = 666.

It is a super-2 number, since 2×40136962320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40136962321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42653050 + ... + 42653990.

It is an arithmetic number, because the mean of its divisors is an integer number (186425568).

Almost surely, 2^40136962320 is an apocalyptic number.

40136962320 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 40136962320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89484272640).

40136962320 is an abundant number, since it is smaller than the sum of its proper divisors (138831582960).

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

40136962320 is a wasteful number, since it uses less digits than its factorization.

40136962320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 4013696 and 2320, that added together give a square (4016016 = 2004²).

The spelling of 40136962320 in words is "forty billion, one hundred thirty-six million, nine hundred sixty-two thousand, three hundred twenty".