40607880768 has 224 divisors, whose sum is σ = 146929368320. Its totient is φ = 10709729280.

The previous prime is 40607880763. The next prime is 40607880823. The reversal of 40607880768 is 86708870604.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40607880763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28128 + ... + 286368.

It is an arithmetic number, because the mean of its divisors is an integer number (655934680).

Almost surely, 2^40607880768 is an apocalyptic number.

40607880768 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 40607880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73464684160).

40607880768 is an abundant number, since it is smaller than the sum of its proper divisors (106321487552).

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

40607880768 is a wasteful number, since it uses less digits than its factorization.

40607880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258282 (or 258266 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 40607880768 in words is "forty billion, six hundred seven million, eight hundred eighty thousand, seven hundred sixty-eight".