7408402400 has 144 divisors (see below), whose sum is σ = 20786482080. Its totient is φ = 2525644800.

The previous prime is 7408402399. The next prime is 7408402403. The reversal of 7408402400 is 42048047.

It is a super-2 number, since 2×7408402400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7408402403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1009946 + ... + 1017254.

It is an arithmetic number, because the mean of its divisors is an integer number (144350570).

Almost surely, 2^7408402400 is an apocalyptic number.

7408402400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7408402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393241040).

7408402400 is an abundant number, since it is smaller than the sum of its proper divisors (13378079680).

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

7408402400 is a wasteful number, since it uses less digits than its factorization.

7408402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 7408402400 is about 86072.0767729000. The cubic root of 7408402400 is about 1949.4324361806.

The spelling of 7408402400 in words is "seven billion, four hundred eight million, four hundred two thousand, four hundred".