4142491800480 has 576 divisors, whose sum is σ = 16142170157568. Its totient is φ = 994844021760.

The previous prime is 4142491800383. The next prime is 4142491800481. The reversal of 4142491800480 is 840081942414.

4142491800480 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 4 + 91 + 80 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4142491800481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45716499 + ... + 45807021.

It is an arithmetic number, because the mean of its divisors is an integer number (28024600968).

Almost surely, 2^{4142491800480} is an apocalyptic number.

4142491800480 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 4142491800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071085078784).

4142491800480 is an abundant number, since it is smaller than the sum of its proper divisors (11999678357088).

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

4142491800480 is a wasteful number, since it uses less digits than its factorization.

4142491800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90671 (or 90651 counting only the distinct ones).

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

The spelling of 4142491800480 in words is "four trillion, one hundred forty-two billion, four hundred ninety-one million, eight hundred thousand, four hundred eighty".