431442115104 has 384 divisors, whose sum is σ = 1569669857280. Its totient is φ = 100105113600.

The previous prime is 431442115081. The next prime is 431442115109. The reversal of 431442115104 is 401511244134.

It is a super-2 number, since 2×431442115104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431442115109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2906562 + ... + 3051390.

It is an arithmetic number, because the mean of its divisors is an integer number (4087681920).

Almost surely, 2^431442115104 is an apocalyptic number.

431442115104 is a gapful number since it is divisible by the number (44) 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 431442115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784834928640).

431442115104 is an abundant number, since it is smaller than the sum of its proper divisors (1138227742176).

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

431442115104 is a wasteful number, since it uses less digits than its factorization.

431442115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144904 (or 144896 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 431442115104 its reverse (401511244134), we get a palindrome (832953359238).

The spelling of 431442115104 in words is "four hundred thirty-one billion, four hundred forty-two million, one hundred fifteen thousand, one hundred four".