9489040400 has 120 divisors (see below), whose sum is σ = 26084830464. Its totient is φ = 3249561600.

The previous prime is 9489040397. The next prime is 9489040403. The reversal of 9489040400 is 40409849.

It is an interprime number because it is at equal distance from previous prime (9489040397) and next prime (9489040403).

It is a super-3 number, since 3×9489040400³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9489040403) by changing a digit.

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, 3445424 + ... + 3448176.

Almost surely, 2^9489040400 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 9489040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042415232).

9489040400 is an abundant number, since it is smaller than the sum of its proper divisors (16595790064).

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

9489040400 is a wasteful number, since it uses less digits than its factorization.

9489040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 9489040400 is about 97411.7056621020. The cubic root of 9489040400 is about 2117.0970413306.

The spelling of 9489040400 in words is "nine billion, four hundred eighty-nine million, forty thousand, four hundred".