9961850939040 has 2304 divisors, whose sum is σ = 48959328337920. Its totient is φ = 1775784591360.

The previous prime is 9961850938999. The next prime is 9961850939081. The reversal of 9961850939040 is 409390581699.

9961850939040 is a `hidden beast` number, since 9 + 9 + 618 + 5 + 0 + 9 + 3 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9961850938999) and next prime (9961850939081).

It is a super-2 number, since 2×9961850939040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1451526649 + ... + 1451533511.

It is an arithmetic number, because the mean of its divisors is an integer number (21249708480).

Almost surely, 2^{9961850939040} is an apocalyptic number.

9961850939040 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 9961850939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479664168960).

9961850939040 is an abundant number, since it is smaller than the sum of its proper divisors (38997477398880).

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

9961850939040 is a wasteful number, since it uses less digits than its factorization.

9961850939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 9961850939040 in words is "nine trillion, nine hundred sixty-one billion, eight hundred fifty million, nine hundred thirty-nine thousand, forty".