40116558960 has 480 divisors, whose sum is σ = 147963029760. Its totient is φ = 10073217024.

The previous prime is 40116558887. The next prime is 40116558967. The reversal of 40116558960 is 6985561104.

40116558960 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 6 + 5 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40116558967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115609507 + ... + 115609853.

It is an arithmetic number, because the mean of its divisors is an integer number (308256312).

Almost surely, 2^40116558960 is an apocalyptic number.

40116558960 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 40116558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73981514880).

40116558960 is an abundant number, since it is smaller than the sum of its proper divisors (107846470800).

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

40116558960 is a wasteful number, since it uses less digits than its factorization.

40116558960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 40116 and 558960, that added together give a square (599076 = 774²).

The spelling of 40116558960 in words is "forty billion, one hundred sixteen million, five hundred fifty-eight thousand, nine hundred sixty".