42474880574280 has 768 divisors, whose sum is σ = 178021413273600. Its totient is φ = 8523760896000.

The previous prime is 42474880574263. The next prime is 42474880574341. The reversal of 42474880574280 is 8247508847424.

42474880574280 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 488 + 0 + 5 + 74 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421875786 + ... + 421976454.

It is an arithmetic number, because the mean of its divisors is an integer number (231798715200).

Almost surely, 2^{42474880574280} is an apocalyptic number.

42474880574280 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 42474880574280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89010706636800).

42474880574280 is an abundant number, since it is smaller than the sum of its proper divisors (135546532699320).

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

42474880574280 is a wasteful number, since it uses less digits than its factorization.

42474880574280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101226 (or 101219 counting only the distinct ones).

The product of its (nonzero) digits is 128450560, while the sum is 63.

The spelling of 42474880574280 in words is "forty-two trillion, four hundred seventy-four billion, eight hundred eighty million, five hundred seventy-four thousand, two hundred eighty".