4137564040 has 32 divisors (see below), whose sum is σ = 9857139480. Its totient is φ = 1557670912.

The previous prime is 4137564037. The next prime is 4137564083. The reversal of 4137564040 is 404657314.

It can be written as a sum of positive squares in 4 ways, for example, as 4007649636 + 129914404 = 63306^2 + 11398^2 .

It is a super-2 number, since 2×4137564040² = 34238872370202243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4137563987 and 4137564005.

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, 3041647 + ... + 3043006.

Almost surely, 2^4137564040 is an apocalyptic number.

4137564040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4137564040 is an abundant number, since it is smaller than the sum of its proper divisors (5719575440).

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

4137564040 is a wasteful number, since it uses less digits than its factorization.

4137564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084681 (or 6084677 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4137564040 is about 64323.8994464732. The cubic root of 4137564040 is about 1605.3937808974.

The spelling of 4137564040 in words is "four billion, one hundred thirty-seven million, five hundred sixty-four thousand, forty".