40146464104 has 32 divisors (see below), whose sum is σ = 79731750600. Its totient is φ = 18885529600.

The previous prime is 40146464047. The next prime is 40146464117.

40146464104 is nontrivially palindromic in base 10.

40146464104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39980002500 + 166461604 = 199950^2 + 12902^2 .

It is a super-2 number, since 2×40146464104² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 40146464104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328242 + ... + 433630.

Almost surely, 2^40146464104 is an apocalyptic number.

It is an amenable number.

40146464104 is a deficient number, since it is larger than the sum of its proper divisors (39585286496).

40146464104 is a wasteful number, since it uses less digits than its factorization.

40146464104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108213 (or 108209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 40146464104 in words is "forty billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred four".