9413821872 has 360 divisors, whose sum is σ = 33093831264. Its totient is φ = 2445520896.

The previous prime is 9413821819. The next prime is 9413821919. The reversal of 9413821872 is 2781283149.

It is a happy number.

9413821872 is a `hidden beast` number, since 94 + 1 + 382 + 187 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12435318 + ... + 12436074.

Almost surely, 2^9413821872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9413821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546915632).

9413821872 is an abundant number, since it is smaller than the sum of its proper divisors (23680009392).

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

9413821872 is a wasteful number, since it uses less digits than its factorization.

9413821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 855 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 9413821872 is about 97024.8518267356. The cubic root of 9413821872 is about 2111.4882002800.

The spelling of 9413821872 in words is "nine billion, four hundred thirteen million, eight hundred twenty-one thousand, eight hundred seventy-two".