9921380742000 has 2400 divisors, whose sum is σ = 45500045310720. Its totient is φ = 2065106534400.

The previous prime is 9921380741969. The next prime is 9921380742103. The reversal of 9921380742000 is 2470831299.

9921380742000 is a `hidden beast` number, since 9 + 9 + 213 + 8 + 0 + 7 + 420 + 0 + 0 = 666.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 8152325392 + ... + 8152326608.

Almost surely, 2^{9921380742000} is an apocalyptic number.

9921380742000 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 9921380742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750022655360).

9921380742000 is an abundant number, since it is smaller than the sum of its proper divisors (35578664568720).

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

9921380742000 is a wasteful number, since it uses less digits than its factorization.

9921380742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 9921380742000 in words is "nine trillion, nine hundred twenty-one billion, three hundred eighty million, seven hundred forty-two thousand".