7312401408 has 352 divisors, whose sum is σ = 23109811200. Its totient is φ = 2034008064.

The previous prime is 7312401377. The next prime is 7312401419. The reversal of 7312401408 is 8041042137.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17451823 + ... + 17452241.

Almost surely, 2^7312401408 is an apocalyptic number.

7312401408 is a gapful number since it is divisible by the number (78) 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 7312401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554905600).

7312401408 is an abundant number, since it is smaller than the sum of its proper divisors (15797409792).

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

7312401408 is a wasteful number, since it uses less digits than its factorization.

7312401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7312401408 is about 85512.5804077973. The cubic root of 7312401408 is about 1940.9752959114.

The spelling of 7312401408 in words is "seven billion, three hundred twelve million, four hundred one thousand, four hundred eight".