431245435040 has 192 divisors, whose sum is σ = 1227480791040. Its totient is φ = 139863905280.

The previous prime is 431245435037. The next prime is 431245435079. The reversal of 431245435040 is 40534542134.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 14519405 + ... + 14549075.

It is an arithmetic number, because the mean of its divisors is an integer number (6393129120).

Almost surely, 2^431245435040 is an apocalyptic number.

431245435040 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 431245435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613740395520).

431245435040 is an abundant number, since it is smaller than the sum of its proper divisors (796235356000).

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

431245435040 is a wasteful number, since it uses less digits than its factorization.

431245435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30395 (or 30387 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 431245435040 its reverse (40534542134), we get a palindrome (471779977174).

The spelling of 431245435040 in words is "four hundred thirty-one billion, two hundred forty-five million, four hundred thirty-five thousand, forty".