42098434560 has 1600 divisors, whose sum is σ = 195644477952. Its totient is φ = 8408530944.

The previous prime is 42098434529. The next prime is 42098434579. The reversal of 42098434560 is 6543489024.

42098434560 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 84 + 3 + 4 + 560 = 666.

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 159 ways as a sum of consecutive naturals, for example, 434004432 + ... + 434004528.

Almost surely, 2^42098434560 is an apocalyptic number.

42098434560 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 42098434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97822238976).

42098434560 is an abundant number, since it is smaller than the sum of its proper divisors (153546043392).

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

42098434560 is a wasteful number, since it uses less digits than its factorization.

42098434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42098434560 in words is "forty-two billion, ninety-eight million, four hundred thirty-four thousand, five hundred sixty".