431151453440 has 144 divisors (see below), whose sum is σ = 1103326835520. Its totient is φ = 160944537600.

The previous prime is 431151453401. The next prime is 431151453443. The reversal of 431151453440 is 44354151134.

It is a self number, because there is not a number n which added to its sum of digits gives 431151453440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431151453443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497140 + ... + 1761740.

Almost surely, 2^431151453440 is an apocalyptic number.

431151453440 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 431151453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551663417760).

431151453440 is an abundant number, since it is smaller than the sum of its proper divisors (672175382080).

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

431151453440 is a wasteful number, since it uses less digits than its factorization.

431151453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264708 (or 264694 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 431151453440 in words is "four hundred thirty-one billion, one hundred fifty-one million, four hundred fifty-three thousand, four hundred forty".