32361125005440 has 4608 divisors, whose sum is σ = 153592298496000. Its totient is φ = 6196248576000.

The previous prime is 32361125005427. The next prime is 32361125005441. The reversal of 32361125005440 is 4450052116323.

32361125005440 is a `hidden beast` number, since 3 + 2 + 3 + 61 + 1 + 2 + 50 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32361125005395 and 32361125005404.

It is not an unprimeable number, because it can be changed into a prime (32361125005441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 232813848891 + ... + 232813849029.

It is an arithmetic number, because the mean of its divisors is an integer number (33331662000).

Almost surely, 2^{32361125005440} is an apocalyptic number.

32361125005440 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 32361125005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76796149248000).

32361125005440 is an abundant number, since it is smaller than the sum of its proper divisors (121231173490560).

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

32361125005440 is a wasteful number, since it uses less digits than its factorization.

32361125005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 32361125005440 in words is "thirty-two trillion, three hundred sixty-one billion, one hundred twenty-five million, five thousand, four hundred forty".