474108243840 has 1536 divisors, whose sum is σ = 2121036503040. Its totient is φ = 94728683520.

The previous prime is 474108243731. The next prime is 474108243881. The reversal of 474108243840 is 48342801474.

474108243840 is a `hidden beast` number, since 4 + 74 + 108 + 2 + 438 + 40 = 666.

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

It is a congruent number.

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, 2740509994 + ... + 2740510166.

It is an arithmetic number, because the mean of its divisors is an integer number (1380883140).

Almost surely, 2^474108243840 is an apocalyptic number.

474108243840 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 474108243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060518251520).

474108243840 is an abundant number, since it is smaller than the sum of its proper divisors (1646928259200).

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

474108243840 is a wasteful number, since it uses less digits than its factorization.

474108243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 474108243840 in words is "four hundred seventy-four billion, one hundred eight million, two hundred forty-three thousand, eight hundred forty".