32481254400 has 528 divisors, whose sum is σ = 126710937600. Its totient is φ = 7181107200.

The previous prime is 32481254389. The next prime is 32481254411. The reversal of 32481254400 is 445218423.

It is an interprime number because it is at equal distance from previous prime (32481254389) and next prime (32481254411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16664626 + ... + 16666574.

Almost surely, 2^32481254400 is an apocalyptic number.

32481254400 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 32481254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355468800).

32481254400 is an abundant number, since it is smaller than the sum of its proper divisors (94229683200).

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

32481254400 is a wasteful number, since it uses less digits than its factorization.

32481254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

It can be divided in two parts, 3248125 and 4400, that added together give a triangular number (3252525 = T₂₅₅₀).

The spelling of 32481254400 in words is "thirty-two billion, four hundred eighty-one million, two hundred fifty-four thousand, four hundred".