9858061440 has 192 divisors, whose sum is σ = 34094244600. Its totient is φ = 2624716800.

The previous prime is 9858061399. The next prime is 9858061459. The reversal of 9858061440 is 441608589.

9858061440 is a `hidden beast` number, since 9 + 8 + 580 + 61 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9734584896 + 123476544 = 98664^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6156640 + ... + 6158240.

Almost surely, 2^9858061440 is an apocalyptic number.

9858061440 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 9858061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047122300).

9858061440 is an abundant number, since it is smaller than the sum of its proper divisors (24236183160).

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

9858061440 is a wasteful number, since it uses less digits than its factorization.

9858061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9858061440 is about 99287.7708481765. The cubic root of 9858061440 is about 2144.1928336991.

The spelling of 9858061440 in words is "nine billion, eight hundred fifty-eight million, sixty-one thousand, four hundred forty".