1004137416 has 24 divisors (see below), whose sum is σ = 2719539030. Its totient is φ = 334712448.

The previous prime is 1004137361. The next prime is 1004137423. The reversal of 1004137416 is 6147314001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1001722500 + 2414916 = 31650^2 + 1554^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1004137416² = 2016583900422314112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1004137416.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6973105 + ... + 6973248.

Almost surely, 2^1004137416 is an apocalyptic number.

It is an amenable number.

1004137416 is an abundant number, since it is smaller than the sum of its proper divisors (1715401614).

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

1004137416 is a wasteful number, since it uses less digits than its factorization.

1004137416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946365 (or 13946358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1004137416 is about 31688.1273665706. The cubic root of 1004137416 is about 1001.3772410031.

The spelling of 1004137416 in words is "one billion, four million, one hundred thirty-seven thousand, four hundred sixteen".