32014421400 has 384 divisors, whose sum is σ = 109343001600. Its totient is φ = 7701196800.

The previous prime is 32014421399. The next prime is 32014421419. The reversal of 32014421400 is 412441023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74279185 + ... + 74279615.

It is an arithmetic number, because the mean of its divisors is an integer number (284747400).

Almost surely, 2^32014421400 is an apocalyptic number.

32014421400 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 32014421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54671500800).

32014421400 is an abundant number, since it is smaller than the sum of its proper divisors (77328580200).

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

32014421400 is a wasteful number, since it uses less digits than its factorization.

32014421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32014421400 its reverse (412441023), we get a palindrome (32426862423).

The spelling of 32014421400 in words is "thirty-two billion, fourteen million, four hundred twenty-one thousand, four hundred".