40407006672 has 60 divisors (see below), whose sum is σ = 113097017280. Its totient is φ = 13467392064.

The previous prime is 40407006649. The next prime is 40407006677. The reversal of 40407006672 is 27660070404.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40407006677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283523 + ... + 2301149.

It is an arithmetic number, because the mean of its divisors is an integer number (1884950288).

Almost surely, 2^40407006672 is an apocalyptic number.

It is an amenable number.

40407006672 is an abundant number, since it is smaller than the sum of its proper divisors (72690010608).

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

40407006672 is a wasteful number, since it uses less digits than its factorization.

40407006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33560 (or 33551 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 40407006672 in words is "forty billion, four hundred seven million, six thousand, six hundred seventy-two".