42455168000 has 352 divisors, whose sum is σ = 123645350400. Its totient is φ = 14541004800.

The previous prime is 42455167981. The next prime is 42455168053. The reversal of 42455168000 is 86155424.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43903517 + ... + 43904483.

It is an arithmetic number, because the mean of its divisors is an integer number (351265200).

Almost surely, 2^42455168000 is an apocalyptic number.

42455168000 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 42455168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61822675200).

42455168000 is an abundant number, since it is smaller than the sum of its proper divisors (81190182400).

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

42455168000 is an frugal number, since it uses more digits than its factorization.

42455168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 42455168000 in words is "forty-two billion, four hundred fifty-five million, one hundred sixty-eight thousand".