9486901440 has 560 divisors, whose sum is σ = 35317054080. Its totient is φ = 2415329280.

The previous prime is 9486901429. The next prime is 9486901447. The reversal of 9486901440 is 441096849.

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

It is not an unprimeable number, because it can be changed into a prime (9486901447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83954824 + ... + 83954936.

It is an arithmetic number, because the mean of its divisors is an integer number (63066168).

Almost surely, 2^9486901440 is an apocalyptic number.

9486901440 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 9486901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658527040).

9486901440 is an abundant number, since it is smaller than the sum of its proper divisors (25830152640).

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

9486901440 is a wasteful number, since it uses less digits than its factorization.

9486901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

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

The square root of 9486901440 is about 97400.7260753225. The cubic root of 9486901440 is about 2116.9379551289.

The spelling of 9486901440 in words is "nine billion, four hundred eighty-six million, nine hundred one thousand, four hundred forty".