32440872340800 has 5040 divisors, whose sum is σ = 158969123824896. Its totient is φ = 6409912320000.

The previous prime is 32440872340733. The next prime is 32440872340819. The reversal of 32440872340800 is 804327804423.

32440872340800 is a `hidden beast` number, since 3 + 2 + 4 + 408 + 7 + 234 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 134609428680 + ... + 134609428920.

Almost surely, 2^{32440872340800} is an apocalyptic number.

32440872340800 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 32440872340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79484561912448).

32440872340800 is an abundant number, since it is smaller than the sum of its proper divisors (126528251484096).

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

32440872340800 is a wasteful number, since it uses less digits than its factorization.

32440872340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 32440872340800 in words is "thirty-two trillion, four hundred forty billion, eight hundred seventy-two million, three hundred forty thousand, eight hundred".