9819950342400 has 729 divisors, whose sum is σ = 38622915576973. Its totient is φ = 2378588467200.

The previous prime is 9819950342369. The next prime is 9819950342429. The reversal of 9819950342400 is 42430599189.

The square root of 9819950342400 is 3133680.

It is a perfect power (a square), and thus also a powerful number.

9819950342400 is a `hidden beast` number, since 9 + 8 + 1 + 99 + 503 + 4 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3535182123264 + 6284768219136 = 1880208^2 + 2506944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8272914607 + ... + 8272915793.

Almost surely, 2^{9819950342400} is an apocalyptic number.

9819950342400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9819950342400 is the 3133680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9819950342400

9819950342400 is an abundant number, since it is smaller than the sum of its proper divisors (28802965234573).

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

9819950342400 is a wasteful number, since it uses less digits than its factorization.

9819950342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9819950342400 in words is "nine trillion, eight hundred nineteen billion, nine hundred fifty million, three hundred forty-two thousand, four hundred".