4053660400 has 30 divisors (see below), whose sum is σ = 9738920072. Its totient is φ = 1621464000.

The previous prime is 4053660367. The next prime is 4053660433. The reversal of 4053660400 is 40663504.

It is an interprime number because it is at equal distance from previous prime (4053660367) and next prime (4053660433).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5066676 + ... + 5067475.

Almost surely, 2^4053660400 is an apocalyptic number.

4053660400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4053660400 is an abundant number, since it is smaller than the sum of its proper divisors (5685259672).

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

4053660400 is a wasteful number, since it uses less digits than its factorization.

4053660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134169 (or 10134158 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4053660400 is about 63668.3626301164. The cubic root of 4053660400 is about 1594.4679258922.

The spelling of 4053660400 in words is "four billion, fifty-three million, six hundred sixty thousand, four hundred".