4490076240400 has 135 divisors (see below), whose sum is σ = 10905667916533. Its totient is φ = 1776552832000.

The previous prime is 4490076240371. The next prime is 4490076240479. The reversal of 4490076240400 is 40426700944.

The square root of 4490076240400 is 2118980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 80345036304 + 4409731204096 = 283452^2 + 2099936^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4280339076 + ... + 4280340124.

Almost surely, 2^{4490076240400} is an apocalyptic number.

4490076240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4490076240400 is the 2118980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490076240400

4490076240400 is an abundant number, since it is smaller than the sum of its proper divisors (6415591676133).

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

4490076240400 is an equidigital number, since it uses as much as digits as its factorization.

4490076240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 4490076240400 in words is "four trillion, four hundred ninety billion, seventy-six million, two hundred forty thousand, four hundred".