1413032112032 has 72 divisors (see below), whose sum is σ = 2930322225600. Its totient is φ = 670638151040.

The previous prime is 1413032112031. The next prime is 1413032112067. The reversal of 1413032112032 is 2302112303141.

It is a super-2 number, since 2×1413032112032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1413032111989 and 1413032112007.

It is not an unprimeable number, because it can be changed into a prime (1413032112031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1898969 + ... + 2536167.

It is an arithmetic number, because the mean of its divisors is an integer number (40698919800).

Almost surely, 2^{1413032112032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413032112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465161112800).

1413032112032 is an abundant number, since it is smaller than the sum of its proper divisors (1517290113568).

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

1413032112032 is a wasteful number, since it uses less digits than its factorization.

1413032112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637386 (or 637355 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1413032112032 its reverse (2302112303141), we get a palindrome (3715144415173).

The spelling of 1413032112032 in words is "one trillion, four hundred thirteen billion, thirty-two million, one hundred twelve thousand, thirty-two".