42257364240 has 320 divisors, whose sum is σ = 161514662400. Its totient is φ = 8900001792.

The previous prime is 42257364223. The next prime is 42257364263. The reversal of 42257364240 is 4246375224.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15483196 + ... + 15485924.

It is an arithmetic number, because the mean of its divisors is an integer number (504733320).

Almost surely, 2^42257364240 is an apocalyptic number.

42257364240 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 42257364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80757331200).

42257364240 is an abundant number, since it is smaller than the sum of its proper divisors (119257298160).

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

42257364240 is a wasteful number, since it uses less digits than its factorization.

42257364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 42257364240 in words is "forty-two billion, two hundred fifty-seven million, three hundred sixty-four thousand, two hundred forty".