413002774005000 has 160 divisors (see below), whose sum is σ = 1290311417551200. Its totient is φ = 110126326464000.

The previous prime is 413002774004999. The next prime is 413002774005007. The reversal of 413002774005000 is 500477200314.

It is not an unprimeable number, because it can be changed into a prime (413002774005007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213883836 + ... + 215806164.

It is an arithmetic number, because the mean of its divisors is an integer number (8064446359695).

Almost surely, 2^{413002774005000} is an apocalyptic number.

413002774005000 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 413002774005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645155708775600).

413002774005000 is an abundant number, since it is smaller than the sum of its proper divisors (877308643546200).

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

413002774005000 is a wasteful number, since it uses less digits than its factorization.

413002774005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936681 (or 1936662 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 413002774005000 in words is "four hundred thirteen trillion, two billion, seven hundred seventy-four million, five thousand".