13032032682240 has 4608 divisors, whose sum is σ = 61131467980800. Its totient is φ = 2601389260800.

The previous prime is 13032032682197. The next prime is 13032032682287. The reversal of 13032032682240 is 4228623023031.

13032032682240 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 32 + 68 + 2 + 240 = 666.

It is a super-2 number, since 2×13032032682240² (a number of 27 digits) contains 22 as substring.

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 = 13032032682195 and 13032032682204.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 352217099502 + ... + 352217099538.

It is an arithmetic number, because the mean of its divisors is an integer number (13266377600).

Almost surely, 2^{13032032682240} is an apocalyptic number.

13032032682240 is a gapful number since it is divisible by the number (10) 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 13032032682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30565733990400).

13032032682240 is an abundant number, since it is smaller than the sum of its proper divisors (48099435298560).

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

13032032682240 is a wasteful number, since it uses less digits than its factorization.

13032032682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13032032682240 in words is "thirteen trillion, thirty-two billion, thirty-two million, six hundred eighty-two thousand, two hundred forty".