9942753300480 has 4992 divisors, whose sum is σ = 50601287761920. Its totient is φ = 1798491340800.

The previous prime is 9942753300443. The next prime is 9942753300517. The reversal of 9942753300480 is 840033572499.

9942753300480 is a `hidden beast` number, since 9 + 9 + 4 + 27 + 533 + 0 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9942753300443) and next prime (9942753300517).

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-3 number, since 3×9942753300480³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140038778845 + ... + 140038778915.

Almost surely, 2^{9942753300480} is an apocalyptic number.

9942753300480 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 9942753300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25300643880960).

9942753300480 is an abundant number, since it is smaller than the sum of its proper divisors (40658534461440).

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

9942753300480 is a wasteful number, since it uses less digits than its factorization.

9942753300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 9942753300480 in words is "nine trillion, nine hundred forty-two billion, seven hundred fifty-three million, three hundred thousand, four hundred eighty".