32414222413440 has 768 divisors, whose sum is σ = 133616730124800. Its totient is φ = 7084005949440.

The previous prime is 32414222413423. The next prime is 32414222413453. The reversal of 32414222413440 is 4431422241423.

32414222413440 is a `hidden beast` number, since 3 + 2 + 4 + 14 + 222 + 413 + 4 + 4 + 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 = 32414222413395 and 32414222413404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120301270 + ... + 120570410.

It is an arithmetic number, because the mean of its divisors is an integer number (173980117350).

Almost surely, 2^{32414222413440} is an apocalyptic number.

32414222413440 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 32414222413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66808365062400).

32414222413440 is an abundant number, since it is smaller than the sum of its proper divisors (101202507711360).

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

32414222413440 is a wasteful number, since it uses less digits than its factorization.

32414222413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269305 (or 269290 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 32414222413440 its reverse (4431422241423), we get a palindrome (36845644654863).

The spelling of 32414222413440 in words is "thirty-two trillion, four hundred fourteen billion, two hundred twenty-two million, four hundred thirteen thousand, four hundred forty".