714416461920 has 1728 divisors, whose sum is σ = 3179207356416. Its totient is φ = 148224245760.

The previous prime is 714416461901. The next prime is 714416461931. The reversal of 714416461920 is 29164614417.

714416461920 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 1 + 6 + 4 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2438281294 + ... + 2438281586.

It is an arithmetic number, because the mean of its divisors is an integer number (1839819072).

Almost surely, 2^714416461920 is an apocalyptic number.

714416461920 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 714416461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589603678208).

714416461920 is an abundant number, since it is smaller than the sum of its proper divisors (2464790894496).

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

714416461920 is a wasteful number, since it uses less digits than its factorization.

714416461920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 714416461920 in words is "seven hundred fourteen billion, four hundred sixteen million, four hundred sixty-one thousand, nine hundred twenty".