431421195356640 has 576 divisors, whose sum is σ = 1609703297459712. Its totient is φ = 104746844160000.

The previous prime is 431421195356561. The next prime is 431421195356653. The reversal of 431421195356640 is 46653591124134.

431421195356640 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 2 + 1 + 1 + 9 + 535 + 66 + 40 = 666.

It is a super-2 number, since 2×431421195356640² (a number of 30 digits) contains 22 as substring.

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, 2089093390 + ... + 2089299890.

It is an arithmetic number, because the mean of its divisors is an integer number (2794623780312).

Almost surely, 2^{431421195356640} is an apocalyptic number.

431421195356640 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 431421195356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804851648729856).

431421195356640 is an abundant number, since it is smaller than the sum of its proper divisors (1178282102103072).

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

431421195356640 is a wasteful number, since it uses less digits than its factorization.

431421195356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209323 (or 209312 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 431421195356640 in words is "four hundred thirty-one trillion, four hundred twenty-one billion, one hundred ninety-five million, three hundred fifty-six thousand, six hundred forty".