431421418957360 has 320 divisors, whose sum is σ = 1154664016773120. Its totient is φ = 148577044746240.

The previous prime is 431421418957349. The next prime is 431421418957489. The reversal of 431421418957360 is 63759814124134.

It is a super-2 number, since 2×431421418957360² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431421418957295 and 431421418957304.

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 63 ways as a sum of consecutive naturals, for example, 2463727569 + ... + 2463902671.

It is an arithmetic number, because the mean of its divisors is an integer number (3608325052416).

It is a 1-persistent number, because it is pandigital, but 2⋅431421418957360 = 862842837914720 is not.

Almost surely, 2^{431421418957360} is an apocalyptic number.

431421418957360 is a gapful number since it is divisible by the number (40) 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 431421418957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577332008386560).

431421418957360 is an abundant number, since it is smaller than the sum of its proper divisors (723242597815760).

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

431421418957360 is a wasteful number, since it uses less digits than its factorization.

431421418957360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177076 (or 177070 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 431421418957360 in words is "four hundred thirty-one trillion, four hundred twenty-one billion, four hundred eighteen million, nine hundred fifty-seven thousand, three hundred sixty".