8961049440 has 720 divisors, whose sum is σ = 37416611232. Its totient is φ = 2013548544.

The previous prime is 8961049429. The next prime is 8961049451. The reversal of 8961049440 is 449401698.

It is an interprime number because it is at equal distance from previous prime (8961049429) and next prime (8961049451).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8961049440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65409052 + ... + 65409188.

Almost surely, 2^8961049440 is an apocalyptic number.

8961049440 is a gapful number since it is divisible by the number (80) 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 8961049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708305616).

8961049440 is an abundant number, since it is smaller than the sum of its proper divisors (28455561792).

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

8961049440 is a wasteful number, since it uses less digits than its factorization.

8961049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8961049440 is about 94662.8197340434. The cubic root of 8961049440 is about 2077.0787270243.

The spelling of 8961049440 in words is "eight billion, nine hundred sixty-one million, forty-nine thousand, four hundred forty".