431442123040 has 192 divisors, whose sum is σ = 1137481712640. Its totient is φ = 153942405120.

The previous prime is 431442123031. The next prime is 431442123067. The reversal of 431442123040 is 40321244134.

It is a super-3 number, since 3×431442123040³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3425014 + ... + 3548746.

It is an arithmetic number, because the mean of its divisors is an integer number (5924383920).

Almost surely, 2^431442123040 is an apocalyptic number.

431442123040 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 431442123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568740856320).

431442123040 is an abundant number, since it is smaller than the sum of its proper divisors (706039589600).

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

431442123040 is a wasteful number, since it uses less digits than its factorization.

431442123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123835 (or 123827 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 431442123040 its reverse (40321244134), we get a palindrome (471763367174).

The spelling of 431442123040 in words is "four hundred thirty-one billion, four hundred forty-two million, one hundred twenty-three thousand, forty".