731401413120 has 1440 divisors, whose sum is σ = 3145502460672. Its totient is φ = 153455689728.

The previous prime is 731401413059. The next prime is 731401413131. The reversal of 731401413120 is 21314104137.

731401413120 is a `hidden beast` number, since 73 + 140 + 141 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×731401413120² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 10019197404 + ... + 10019197476.

Almost surely, 2^731401413120 is an apocalyptic number.

731401413120 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 731401413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572751230336).

731401413120 is an abundant number, since it is smaller than the sum of its proper divisors (2414101047552).

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

731401413120 is a wasteful number, since it uses less digits than its factorization.

731401413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 731401413120 its reverse (21314104137), we get a palindrome (752715517257).

The spelling of 731401413120 in words is "seven hundred thirty-one billion, four hundred one million, four hundred thirteen thousand, one hundred twenty".