9802045440 has 576 divisors, whose sum is σ = 38429445600. Its totient is φ = 2368143360.

The previous prime is 9802045399. The next prime is 9802045457. The reversal of 9802045440 is 445402089.

9802045440 is a `hidden beast` number, since 9 + 8 + 0 + 204 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 9802045395 and 9802045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33453934 + ... + 33454226.

Almost surely, 2^9802045440 is an apocalyptic number.

9802045440 is a gapful number since it is divisible by the number (90) 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 9802045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214722800).

9802045440 is an abundant number, since it is smaller than the sum of its proper divisors (28627400160).

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

9802045440 is a wasteful number, since it uses less digits than its factorization.

9802045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9802045440 is about 99005.2798592075. The cubic root of 9802045440 is about 2140.1238347998.

The spelling of 9802045440 in words is "nine billion, eight hundred two million, forty-five thousand, four hundred forty".