4000653600 has 72 divisors (see below), whose sum is σ = 13022135280. Its totient is φ = 1066840320.

The previous prime is 4000653599. The next prime is 4000653641. The reversal of 4000653600 is 63560004.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 831070 + ... + 835869.

It is an arithmetic number, because the mean of its divisors is an integer number (180862990).

Almost surely, 2^4000653600 is an apocalyptic number.

4000653600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000653600 is an abundant number, since it is smaller than the sum of its proper divisors (9021481680).

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

4000653600 is a wasteful number, since it uses less digits than its factorization.

4000653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666962 (or 1666949 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4000653600 is about 63250.7201540030. The cubic root of 4000653600 is about 1587.4875077034.

The spelling of 4000653600 in words is "four billion, six hundred fifty-three thousand, six hundred".