4004137000 has 32 divisors (see below), whose sum is σ = 9369682920. Its totient is φ = 1601654400.

The previous prime is 4004136991. The next prime is 4004137001. The reversal of 4004137000 is 7314004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 437897476 + 3566239524 = 20926^2 + 59718^2 .

It is a super-2 number, since 2×4004137000² = 32066226229538000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004137001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001069 + ... + 2003068.

Almost surely, 2^4004137000 is an apocalyptic number.

4004137000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004137000 is an abundant number, since it is smaller than the sum of its proper divisors (5365545920).

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

4004137000 is a wasteful number, since it uses less digits than its factorization.

4004137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004158 (or 4004144 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4004137000 is about 63278.2506079301. The cubic root of 4004137000 is about 1587.9481199225.

The spelling of 4004137000 in words is "four billion, four million, one hundred thirty-seven thousand".