4013740400 has 60 divisors (see below), whose sum is σ = 9867309672. Its totient is φ = 1568152320.

The previous prime is 4013740397. The next prime is 4013740417. The reversal of 4013740400 is 40473104.

It is a super-2 number, since 2×4013740400² = 32220223997184320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99479 + ... + 133878.

Almost surely, 2^4013740400 is an apocalyptic number.

4013740400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013740400 is an abundant number, since it is smaller than the sum of its proper divisors (5853569272).

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

4013740400 is a wasteful number, since it uses less digits than its factorization.

4013740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233418 (or 233407 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4013740400 is about 63354.0874766577. The cubic root of 4013740400 is about 1589.2166018052.

The spelling of 4013740400 in words is "four billion, thirteen million, seven hundred forty thousand, four hundred".