413922474000 has 1600 divisors, whose sum is σ = 1783667837952. Its totient is φ = 90574848000.

The previous prime is 413922473917. The next prime is 413922474019. The reversal of 413922474000 is 474229314.

413922474000 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 2 + 247 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4267241952 + ... + 4267242048.

Almost surely, 2^413922474000 is an apocalyptic number.

413922474000 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 413922474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891833918976).

413922474000 is an abundant number, since it is smaller than the sum of its proper divisors (1369745363952).

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

413922474000 is a wasteful number, since it uses less digits than its factorization.

413922474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 413922474000 in words is "four hundred thirteen billion, nine hundred twenty-two million, four hundred seventy-four thousand".