42292347040 has 96 divisors (see below), whose sum is σ = 105847079184. Its totient is φ = 15913697280.

The previous prime is 42292347001. The next prime is 42292347047. The reversal of 42292347040 is 4074329224.

It can be written as a sum of positive squares in 8 ways, for example, as 39966407056 + 2325939984 = 199916^2 + 48228^2 .

It is not an unprimeable number, because it can be changed into a prime (42292347047) 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, 9564030 + ... + 9568450.

Almost surely, 2^42292347040 is an apocalyptic number.

42292347040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42292347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923539592).

42292347040 is an abundant number, since it is smaller than the sum of its proper divisors (63554732144).

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

42292347040 is a wasteful number, since it uses less digits than its factorization.

42292347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7970 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 42292347040 in words is "forty-two billion, two hundred ninety-two million, three hundred forty-seven thousand, forty".