32133414014240 has 96 divisors (see below), whose sum is σ = 94647510405504. Its totient is φ = 10015609559040.

The previous prime is 32133414014231. The next prime is 32133414014263. The reversal of 32133414014240 is 4241041433123.

It is a super-3 number, since 3×32133414014240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32133414014197 and 32133414014206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304103509 + ... + 1304128148.

It is an arithmetic number, because the mean of its divisors is an integer number (985911566724).

Almost surely, 2^{32133414014240} is an apocalyptic number.

It is an amenable number.

32133414014240 is an abundant number, since it is smaller than the sum of its proper divisors (62514096391264).

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

32133414014240 is a wasteful number, since it uses less digits than its factorization.

32133414014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608231690 (or 2608231682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 32133414014240 its reverse (4241041433123), we get a palindrome (36374455447363).

The spelling of 32133414014240 in words is "thirty-two trillion, one hundred thirty-three billion, four hundred fourteen million, fourteen thousand, two hundred forty".