40656955097088 has 1920 divisors, whose sum is σ = 143931537792000. Its totient is φ = 11351516774400.

The previous prime is 40656955097039. The next prime is 40656955097089. The reversal of 40656955097088 is 88079055965604.

40656955097088 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 69 + 550 + 9 + 7 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40656955097089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 456819720148 + ... + 456819720236.

It is an arithmetic number, because the mean of its divisors is an integer number (74964342600).

Almost surely, 2^{40656955097088} is an apocalyptic number.

40656955097088 is a gapful number since it is divisible by the number (48) 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 40656955097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71965768896000).

40656955097088 is an abundant number, since it is smaller than the sum of its proper divisors (103274582694912).

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

40656955097088 is an frugal number, since it uses more digits than its factorization.

40656955097088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 40656955097088 in words is "forty trillion, six hundred fifty-six billion, nine hundred fifty-five million, ninety-seven thousand, eighty-eight".