42253917440 has 288 divisors, whose sum is σ = 118888197120. Its totient is φ = 14088241152.

The previous prime is 42253917371. The next prime is 42253917443. The reversal of 42253917440 is 4471935224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42253917443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113281094 + ... + 113281466.

It is an arithmetic number, because the mean of its divisors is an integer number (412806240).

Almost surely, 2^42253917440 is an apocalyptic number.

42253917440 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 42253917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59444098560).

42253917440 is an abundant number, since it is smaller than the sum of its proper divisors (76634279680).

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

42253917440 is a wasteful number, since it uses less digits than its factorization.

42253917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 42253917440 in words is "forty-two billion, two hundred fifty-three million, nine hundred seventeen thousand, four hundred forty".