8401209984 has 96 divisors (see below), whose sum is σ = 25009089300. Its totient is φ = 2703826944.

The previous prime is 8401209961. The next prime is 8401210009. The reversal of 8401209984 is 4899021048.

It can be written as a sum of positive squares in 2 ways, for example, as 8035329600 + 365880384 = 89640^2 + 19128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8401209984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92329 + ... + 159144.

Almost surely, 2^8401209984 is an apocalyptic number.

It is an amenable number.

8401209984 is an abundant number, since it is smaller than the sum of its proper divisors (16607879316).

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

8401209984 is a wasteful number, since it uses less digits than its factorization.

8401209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251522 (or 251507 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8401209984 is about 91658.1146653148. The cubic root of 8401209984 is about 2032.8903139697.

The spelling of 8401209984 in words is "eight billion, four hundred one million, two hundred nine thousand, nine hundred eighty-four".