716505402341400 has 384 divisors, whose sum is σ = 2541691602516480. Its totient is φ = 163565284331520.

The previous prime is 716505402341381. The next prime is 716505402341437. The reversal of 716505402341400 is 4143204505617.

It is a super-2 number, since 2×716505402341400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31911332574 + ... + 31911355026.

It is an arithmetic number, because the mean of its divisors is an integer number (6618988548220).

Almost surely, 2^{716505402341400} is an apocalyptic number.

716505402341400 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 716505402341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270845801258240).

716505402341400 is an abundant number, since it is smaller than the sum of its proper divisors (1825186200175080).

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

716505402341400 is a wasteful number, since it uses less digits than its factorization.

716505402341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31763 (or 31754 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 716505402341400 in words is "seven hundred sixteen trillion, five hundred five billion, four hundred two million, three hundred forty-one thousand, four hundred".