4001578640 has 40 divisors (see below), whose sum is σ = 9708182208. Its totient is φ = 1531038080.

The previous prime is 4001578631. The next prime is 4001578661. The reversal of 4001578640 is 468751004.

4001578640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4001578640² = 32025263224208499200, 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 4001578640.

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, 1085546 + ... + 1089225.

Almost surely, 2^4001578640 is an apocalyptic number.

4001578640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001578640 is an abundant number, since it is smaller than the sum of its proper divisors (5706603568).

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

4001578640 is a wasteful number, since it uses less digits than its factorization.

4001578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174807 (or 2174801 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 4001578640 is about 63258.0322172608. The cubic root of 4001578640 is about 1587.6098524019.

The spelling of 4001578640 in words is "four billion, one million, five hundred seventy-eight thousand, six hundred forty".