714460986400 has 288 divisors, whose sum is σ = 2026785777408. Its totient is φ = 240869376000.

The previous prime is 714460986389. The next prime is 714460986413. The reversal of 714460986400 is 4689064417.

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 47 ways as a sum of consecutive naturals, for example, 144303925 + ... + 144308875.

It is an arithmetic number, because the mean of its divisors is an integer number (7037450616).

Almost surely, 2^714460986400 is an apocalyptic number.

714460986400 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 714460986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013392888704).

714460986400 is an abundant number, since it is smaller than the sum of its proper divisors (1312324791008).

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

714460986400 is a wasteful number, since it uses less digits than its factorization.

714460986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 714460986400 in words is "seven hundred fourteen billion, four hundred sixty million, nine hundred eighty-six thousand, four hundred".