431103110204040 has 256 divisors, whose sum is σ = 1406750038041600. Its totient is φ = 105316632843264.

The previous prime is 431103110204033. The next prime is 431103110204071. The reversal of 431103110204040 is 40402011301134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 431103110204040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1925022 + ... + 29426381.

It is an arithmetic number, because the mean of its divisors is an integer number (5495117336100).

Almost surely, 2^{431103110204040} is an apocalyptic number.

431103110204040 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 431103110204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703375019020800).

431103110204040 is an abundant number, since it is smaller than the sum of its proper divisors (975646927837560).

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

431103110204040 is a wasteful number, since it uses less digits than its factorization.

431103110204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31351636 (or 31351632 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 431103110204040 its reverse (40402011301134), we get a palindrome (471505121505174).

The spelling of 431103110204040 in words is "four hundred thirty-one trillion, one hundred three billion, one hundred ten million, two hundred four thousand, forty".