431400400332 has 96 divisors (see below), whose sum is σ = 1156356096000. Its totient is φ = 123798715200.

The previous prime is 431400400297. The next prime is 431400400373. The reversal of 431400400332 is 233004004134.

It is a super-2 number, since 2×431400400332² (a number of 24 digits) contains 22 as substring.

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, 6666669 + ... + 6731067.

It is an arithmetic number, because the mean of its divisors is an integer number (12045376000).

Almost surely, 2^431400400332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431400400332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578178048000).

431400400332 is an abundant number, since it is smaller than the sum of its proper divisors (724955695668).

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

431400400332 is a wasteful number, since it uses less digits than its factorization.

431400400332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67107 (or 67105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 431400400332 its reverse (233004004134), we get a palindrome (664404404466).

The spelling of 431400400332 in words is "four hundred thirty-one billion, four hundred million, four hundred thousand, three hundred thirty-two".