431411210040 has 128 divisors (see below), whose sum is σ = 1362902400000. Its totient is φ = 108943999488.

The previous prime is 431411210039. The next prime is 431411210123. The reversal of 431411210040 is 40012114134.

It is a super-2 number, since 2×431411210040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431411209989 and 431411210016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5792961 + ... + 5866959.

It is an arithmetic number, because the mean of its divisors is an integer number (10647675000).

Almost surely, 2^431411210040 is an apocalyptic number.

431411210040 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 431411210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681451200000).

431411210040 is an abundant number, since it is smaller than the sum of its proper divisors (931491189960).

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

431411210040 is a wasteful number, since it uses less digits than its factorization.

431411210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76589 (or 76585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 431411210040 its reverse (40012114134), we get a palindrome (471423324174).

The spelling of 431411210040 in words is "four hundred thirty-one billion, four hundred eleven million, two hundred ten thousand, forty".