9942510240000 has 2520 divisors, whose sum is σ = 41038304039040. Its totient is φ = 2387294208000.

The previous prime is 9942510239983. The next prime is 9942510240017. The reversal of 9942510240000 is 420152499.

9942510240000 is a `hidden beast` number, since 99 + 425 + 102 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9942510239983) and next prime (9942510240017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 119789279959 + ... + 119789280041.

Almost surely, 2^{9942510240000} is an apocalyptic number.

9942510240000 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 9942510240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519152019520).

9942510240000 is an abundant number, since it is smaller than the sum of its proper divisors (31095793799040).

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

9942510240000 is an frugal number, since it uses more digits than its factorization.

9942510240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 9942510240000 its reverse (420152499), we get a palindrome (9942930392499).

The spelling of 9942510240000 in words is "nine trillion, nine hundred forty-two billion, five hundred ten million, two hundred forty thousand".