9911903990400 has 768 divisors, whose sum is σ = 37512268108800. Its totient is φ = 2553314918400.

The previous prime is 9911903990393. The next prime is 9911903990441. The reversal of 9911903990400 is 40993091199.

9911903990400 is a `hidden beast` number, since 9 + 9 + 119 + 0 + 39 + 90 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1641856182 + ... + 1641862218.

It is an arithmetic number, because the mean of its divisors is an integer number (48844099100).

Almost surely, 2^{9911903990400} is an apocalyptic number.

9911903990400 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 9911903990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18756134054400).

9911903990400 is an abundant number, since it is smaller than the sum of its proper divisors (27600364118400).

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

9911903990400 is a wasteful number, since it uses less digits than its factorization.

9911903990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 9911903990400 in words is "nine trillion, nine hundred eleven billion, nine hundred three million, nine hundred ninety thousand, four hundred".