32401424400 has 120 divisors (see below), whose sum is σ = 103835419584. Its totient is φ = 8636812800.

The previous prime is 32401424399. The next prime is 32401424411. The reversal of 32401424400 is 442410423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4264605 + ... + 4272195.

Almost surely, 2^32401424400 is an apocalyptic number.

32401424400 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 32401424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51917709792).

32401424400 is an abundant number, since it is smaller than the sum of its proper divisors (71433995184).

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

32401424400 is a wasteful number, since it uses less digits than its factorization.

32401424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11169 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32401424400 its reverse (442410423), we get a palindrome (32843834823).

The spelling of 32401424400 in words is "thirty-two billion, four hundred one million, four hundred twenty-four thousand, four hundred".