40016474784 has 144 divisors (see below), whose sum is σ = 133691541984. Its totient is φ = 11193408000.

The previous prime is 40016474753. The next prime is 40016474801. The reversal of 40016474784 is 48747461004.

It is a happy number.

40016474784 is a `hidden beast` number, since 400 + 164 + 7 + 4 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444642 + ... + 527009.

It is an arithmetic number, because the mean of its divisors is an integer number (928413486).

Almost surely, 2^40016474784 is an apocalyptic number.

40016474784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40016474784 is an abundant number, since it is smaller than the sum of its proper divisors (93675067200).

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

40016474784 is a wasteful number, since it uses less digits than its factorization.

40016474784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971691 (or 971680 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 40016474784 in words is "forty billion, sixteen million, four hundred seventy-four thousand, seven hundred eighty-four".