431724820854540 has 288 divisors, whose sum is σ = 1304915706372096. Its totient is φ = 106529633717760.

The previous prime is 431724820854533. The next prime is 431724820854557. The reversal of 431724820854540 is 45458028427134.

It is a super-2 number, since 2×431724820854540² (a number of 30 digits) contains 22 as substring.

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, 2722482694 + ... + 2722641266.

It is an arithmetic number, because the mean of its divisors is an integer number (4530957313792).

Almost surely, 2^{431724820854540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431724820854540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652457853186048).

431724820854540 is an abundant number, since it is smaller than the sum of its proper divisors (873190885517556).

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

431724820854540 is a wasteful number, since it uses less digits than its factorization.

431724820854540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161429 (or 161404 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 57.

The spelling of 431724820854540 in words is "four hundred thirty-one trillion, seven hundred twenty-four billion, eight hundred twenty million, eight hundred fifty-four thousand, five hundred forty".