713451110400 has 900 divisors, whose sum is σ = 3029025595232. Its totient is φ = 163074539520.

The previous prime is 713451110381. The next prime is 713451110401. The reversal of 713451110400 is 4011154317.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (2!)¹³.

713451110400 is a `hidden beast` number, since 7 + 134 + 511 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713451110401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101921587197 + ... + 101921587203.

Almost surely, 2^713451110400 is an apocalyptic number.

713451110400 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 713451110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514512797616).

713451110400 is an abundant number, since it is smaller than the sum of its proper divisors (2315574484832).

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

713451110400 is an frugal number, since it uses more digits than its factorization.

713451110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 713451110400 its reverse (4011154317), we get a palindrome (717462264717).

The spelling of 713451110400 in words is "seven hundred thirteen billion, four hundred fifty-one million, one hundred ten thousand, four hundred".