42198265025280 has 5760 divisors, whose sum is σ = 211448486430720. Its totient is φ = 7774069063680.

The previous prime is 42198265025221. The next prime is 42198265025309. The reversal of 42198265025280 is 8252056289124.

42198265025280 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 8 + 2 + 6 + 502 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×42198265025280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 185895440527 + ... + 185895440753.

It is an arithmetic number, because the mean of its divisors is an integer number (36709806672).

Almost surely, 2^{42198265025280} is an apocalyptic number.

42198265025280 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 42198265025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105724243215360).

42198265025280 is an abundant number, since it is smaller than the sum of its proper divisors (169250221405440).

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

42198265025280 is a wasteful number, since it uses less digits than its factorization.

42198265025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 42198265025280 in words is "forty-two trillion, one hundred ninety-eight billion, two hundred sixty-five million, twenty-five thousand, two hundred eighty".