9862481341440 has 1408 divisors, whose sum is σ = 43402426368000. Its totient is φ = 2080426622976.

The previous prime is 9862481341439. The next prime is 9862481341469. The reversal of 9862481341440 is 441431842689.

9862481341440 is a `hidden beast` number, since 9 + 8 + 62 + 4 + 8 + 134 + 1 + 440 = 666.

It is a super-2 number, since 2×9862481341440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2125990641 + ... + 2125995279.

Almost surely, 2^{9862481341440} is an apocalyptic number.

9862481341440 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 9862481341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21701213184000).

9862481341440 is an abundant number, since it is smaller than the sum of its proper divisors (33539945026560).

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

9862481341440 is a wasteful number, since it uses less digits than its factorization.

9862481341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 9862481341440 in words is "nine trillion, eight hundred sixty-two billion, four hundred eighty-one million, three hundred forty-one thousand, four hundred forty".