42234037507984 has 225 divisors, whose sum is σ = 97032074418971. Its totient is φ = 17807155181760.

The previous prime is 42234037507957. The next prime is 42234037507999. The reversal of 42234037507984 is 48970573043224.

The square root of 42234037507984 is 6498772.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90436910919 + ... + 90436911385.

Almost surely, 2^{42234037507984} is an apocalyptic number.

42234037507984 is the 6498772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42234037507984

42234037507984 is an abundant number, since it is smaller than the sum of its proper divisors (54798036910987).

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

42234037507984 is an frugal number, since it uses more digits than its factorization.

42234037507984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 42234037507984 in words is "forty-two trillion, two hundred thirty-four billion, thirty-seven million, five hundred seven thousand, nine hundred eighty-four".