4001920400 has 30 divisors (see below), whose sum is σ = 9614614722. Its totient is φ = 1600768000.

The previous prime is 4001920399. The next prime is 4001920409. The reversal of 4001920400 is 40291004.

It can be written as a sum of positive squares in 3 ways, for example, as 161391616 + 3840528784 = 12704^2 + 61972^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4001920409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5002001 + ... + 5002800.

Almost surely, 2^4001920400 is an apocalyptic number.

4001920400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001920400 is an abundant number, since it is smaller than the sum of its proper divisors (5612694322).

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

4001920400 is a wasteful number, since it uses less digits than its factorization.

4001920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004819 (or 10004808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4001920400 is about 63260.7334766204. The cubic root of 4001920400 is about 1587.6550484063.

The spelling of 4001920400 in words is "four billion, one million, nine hundred twenty thousand, four hundred".