9453961440 has 768 divisors, whose sum is σ = 41821194240. Its totient is φ = 1937571840.

The previous prime is 9453961421. The next prime is 9453961441. The reversal of 9453961440 is 441693549.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9453961441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32265934 + ... + 32266226.

It is an arithmetic number, because the mean of its divisors is an integer number (54454680).

Almost surely, 2^9453961440 is an apocalyptic number.

9453961440 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 9453961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910597120).

9453961440 is an abundant number, since it is smaller than the sum of its proper divisors (32367232800).

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

9453961440 is a wasteful number, since it uses less digits than its factorization.

9453961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9453961440 is about 97231.4837899741. The cubic root of 9453961440 is about 2114.4850011115.

The spelling of 9453961440 in words is "nine billion, four hundred fifty-three million, nine hundred sixty-one thousand, four hundred forty".