42257940480 has 816 divisors, whose sum is σ = 176662736640. Its totient is φ = 9135194112.

The previous prime is 42257940467. The next prime is 42257940533. The reversal of 42257940480 is 8404975224.

42257940480 is a `hidden beast` number, since 42 + 25 + 79 + 40 + 480 = 666.

It is a super-2 number, since 2×42257940480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474808276 + ... + 474808364.

Almost surely, 2^42257940480 is an apocalyptic number.

42257940480 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 42257940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331368320).

42257940480 is an abundant number, since it is smaller than the sum of its proper divisors (134404796160).

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

42257940480 is an equidigital number, since it uses as much as digits as its factorization.

42257940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42257940480 in words is "forty-two billion, two hundred fifty-seven million, nine hundred forty thousand, four hundred eighty".