4121842974480 has 3840 divisors, whose sum is σ = 20252406620160. Its totient is φ = 724598784000.

The previous prime is 4121842974439. The next prime is 4121842974503. The reversal of 4121842974480 is 844792481214.

4121842974480 is a `hidden beast` number, since 4 + 12 + 1 + 84 + 2 + 9 + 74 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 40810326430 + ... + 40810326530.

It is an arithmetic number, because the mean of its divisors is an integer number (5274064224).

Almost surely, 2^{4121842974480} is an apocalyptic number.

4121842974480 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 4121842974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126203310080).

4121842974480 is an abundant number, since it is smaller than the sum of its proper divisors (16130563645680).

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

4121842974480 is a wasteful number, since it uses less digits than its factorization.

4121842974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4121842974480 in words is "four trillion, one hundred twenty-one billion, eight hundred forty-two million, nine hundred seventy-four thousand, four hundred eighty".