40479016704 has 288 divisors, whose sum is σ = 129060449280. Its totient is φ = 11012407296.

The previous prime is 40479016679. The next prime is 40479016777. The reversal of 40479016704 is 40761097404.

It is a super-2 number, since 2×40479016704² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33260704 + ... + 33261920.

It is an arithmetic number, because the mean of its divisors is an integer number (448126560).

Almost surely, 2^40479016704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40479016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64530224640).

40479016704 is an abundant number, since it is smaller than the sum of its proper divisors (88581432576).

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

40479016704 is a wasteful number, since it uses less digits than its factorization.

40479016704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 40479016704 in words is "forty billion, four hundred seventy-nine million, sixteen thousand, seven hundred four".