42208511580224 has 56 divisors (see below), whose sum is σ = 91375287107328. Its totient is φ = 19184962173440.

The previous prime is 42208511580187. The next prime is 42208511580233.

42208511580224 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17735954 + ... + 19974510.

It is an arithmetic number, because the mean of its divisors is an integer number (1631701555488).

Almost surely, 2^{42208511580224} is an apocalyptic number.

42208511580224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42208511580224 is an abundant number, since it is smaller than the sum of its proper divisors (49166775527104).

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

42208511580224 is a wasteful number, since it uses less digits than its factorization.

42208511580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265363 (or 2265353 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The spelling of 42208511580224 in words is "forty-two trillion, two hundred eight billion, five hundred eleven million, five hundred eighty thousand, two hundred twenty-four".