474122434240 has 448 divisors, whose sum is σ = 1459996876800. Its totient is φ = 142534656000.

The previous prime is 474122434237. The next prime is 474122434241. The reversal of 474122434240 is 42434221474.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 474122434240.

It is not an unprimeable number, because it can be changed into a prime (474122434241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99791865 + ... + 99796615.

It is an arithmetic number, because the mean of its divisors is an integer number (3258921600).

Almost surely, 2^474122434240 is an apocalyptic number.

474122434240 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 474122434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729998438400).

474122434240 is an abundant number, since it is smaller than the sum of its proper divisors (985874442560).

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

474122434240 is a wasteful number, since it uses less digits than its factorization.

474122434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 37.

The spelling of 474122434240 in words is "four hundred seventy-four billion, one hundred twenty-two million, four hundred thirty-four thousand, two hundred forty".