42428908080 has 560 divisors, whose sum is σ = 160660717056. Its totient is φ = 10353899520.

The previous prime is 42428908079. The next prime is 42428908103. The reversal of 42428908080 is 8080982424.

It is a happy number.

It is a super-2 number, since 2×42428908080² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 144808414 + ... + 144808706.

Almost surely, 2^42428908080 is an apocalyptic number.

42428908080 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 42428908080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80330358528).

42428908080 is an abundant number, since it is smaller than the sum of its proper divisors (118231808976).

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

42428908080 is a wasteful number, since it uses less digits than its factorization.

42428908080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 42428908080 in words is "forty-two billion, four hundred twenty-eight million, nine hundred eight thousand, eighty".