4010887398400 has 99 divisors (see below), whose sum is σ = 9942938168799. Its totient is φ = 1604226785280.

The previous prime is 4010887398367. The next prime is 4010887398443. The reversal of 4010887398400 is 48937880104.

The square root of 4010887398400 is 2002720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 587025662976 + 3423861735424 = 766176^2 + 1850368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320428942 + ... + 320441458.

Almost surely, 2^{4010887398400} is an apocalyptic number.

4010887398400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4010887398400 is the 2002720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010887398400

4010887398400 is an abundant number, since it is smaller than the sum of its proper divisors (5932050770399).

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

4010887398400 is an frugal number, since it uses more digits than its factorization.

4010887398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25064 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 4010887398400 in words is "four trillion, ten billion, eight hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".