474665199878240 has 192 divisors, whose sum is σ = 1349175908505600. Its totient is φ = 154162401970176.

The previous prime is 474665199878201. The next prime is 474665199878257. The reversal of 474665199878240 is 42878991566474.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225349622 + ... + 227446218.

It is an arithmetic number, because the mean of its divisors is an integer number (7026957856800).

Almost surely, 2^{474665199878240} is an apocalyptic number.

474665199878240 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 474665199878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674587954252800).

474665199878240 is an abundant number, since it is smaller than the sum of its proper divisors (874510708627360).

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

474665199878240 is a wasteful number, since it uses less digits than its factorization.

474665199878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107277 (or 2107269 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 80.

The spelling of 474665199878240 in words is "four hundred seventy-four trillion, six hundred sixty-five billion, one hundred ninety-nine million, eight hundred seventy-eight thousand, two hundred forty".