42265455456224 has 96 divisors (see below), whose sum is σ = 111722672549376. Its totient is φ = 15200363589120.

The previous prime is 42265455456157. The next prime is 42265455456233.

42265455456224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 42265455456224.

It is a congruent number.

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, 659705972 + ... + 659770035.

It is an arithmetic number, because the mean of its divisors is an integer number (1163777839056).

Almost surely, 2^{42265455456224} is an apocalyptic number.

42265455456224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42265455456224 is an abundant number, since it is smaller than the sum of its proper divisors (69457217093152).

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

42265455456224 is a wasteful number, since it uses less digits than its factorization.

42265455456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319476048 (or 1319476040 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 56.

The spelling of 42265455456224 in words is "forty-two trillion, two hundred sixty-five billion, four hundred fifty-five million, four hundred fifty-six thousand, two hundred twenty-four".