413894054200 has 96 divisors (see below), whose sum is σ = 1050499170000. Its totient is φ = 150404659200.

The previous prime is 413894054183. The next prime is 413894054221. The reversal of 413894054200 is 2450498314.

It is a super-2 number, since 2×413894054200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3212626 + ... + 3338974.

Almost surely, 2^413894054200 is an apocalyptic number.

413894054200 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 413894054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525249585000).

413894054200 is an abundant number, since it is smaller than the sum of its proper divisors (636605115800).

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

413894054200 is a wasteful number, since it uses less digits than its factorization.

413894054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127865 (or 127856 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 413894054200 in words is "four hundred thirteen billion, eight hundred ninety-four million, fifty-four thousand, two hundred".