42245411454224 has 80 divisors (see below), whose sum is σ = 91555604828160. Its totient is φ = 18717376164480.

The previous prime is 42245411454209. The next prime is 42245411454229.

42245411454224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42245411454229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045504 + ... + 9416735.

It is an arithmetic number, because the mean of its divisors is an integer number (1144445060352).

Almost surely, 2^{42245411454224} is an apocalyptic number.

42245411454224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42245411454224 is an abundant number, since it is smaller than the sum of its proper divisors (49310193373936).

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

42245411454224 is a wasteful number, since it uses less digits than its factorization.

42245411454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462788 (or 11462782 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 4224541 and 1454224, that added together give a palindrome (5678765).

The spelling of 42245411454224 in words is "forty-two trillion, two hundred forty-five billion, four hundred eleven million, four hundred fifty-four thousand, two hundred twenty-four".