42254033045224 has 128 divisors (see below), whose sum is σ = 107426997377280. Its totient is φ = 15045797376000.

The previous prime is 42254033045179. The next prime is 42254033045269.

42254033045224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42254033045179) and next prime (42254033045269).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25312369 + ... + 26929984.

It is an arithmetic number, because the mean of its divisors is an integer number (839273417010).

Almost surely, 2^{42254033045224} is an apocalyptic number.

42254033045224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42254033045224 is an abundant number, since it is smaller than the sum of its proper divisors (65172964332056).

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

42254033045224 is a wasteful number, since it uses less digits than its factorization.

42254033045224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52242491 (or 52242487 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

The spelling of 42254033045224 in words is "forty-two trillion, two hundred fifty-four billion, thirty-three million, forty-five thousand, two hundred twenty-four".