40607581728 has 96 divisors (see below), whose sum is σ = 121884061824. Its totient is φ = 11596326912.

The previous prime is 40607581699. The next prime is 40607581771. The reversal of 40607581728 is 82718570604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421926 + ... + 1450202.

It is an arithmetic number, because the mean of its divisors is an integer number (1269625644).

Almost surely, 2^40607581728 is an apocalyptic number.

40607581728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40607581728 is an abundant number, since it is smaller than the sum of its proper divisors (81276480096).

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

40607581728 is a wasteful number, since it uses less digits than its factorization.

40607581728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30434 (or 30426 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 40607581728 in words is "forty billion, six hundred seven million, five hundred eighty-one thousand, seven hundred twenty-eight".