32013400430400 has 168 divisors, whose sum is σ = 105046738063584. Its totient is φ = 8535597619200.

The previous prime is 32013400430387. The next prime is 32013400430419. The reversal of 32013400430400 is 403400431023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30994290 + ... + 32010510.

Almost surely, 2^{32013400430400} is an apocalyptic number.

32013400430400 is a gapful number since it is divisible by the number (30) 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 32013400430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52523369031792).

32013400430400 is an abundant number, since it is smaller than the sum of its proper divisors (73033337633184).

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

32013400430400 is a wasteful number, since it uses less digits than its factorization.

32013400430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022809 (or 1022794 counting only the distinct ones).

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

Adding to 32013400430400 its reverse (403400431023), we get a palindrome (32416800861423).

The spelling of 32013400430400 in words is "thirty-two trillion, thirteen billion, four hundred million, four hundred thirty thousand, four hundred".