992011032230400 has 11520 divisors, whose sum is σ = 5142234587922432. Its totient is φ = 176579149824000.

The previous prime is 992011032230303. The next prime is 992011032230411. The reversal of 992011032230400 is 4032230110299.

992011032230400 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 1 + 10 + 3 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

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

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 1151 ways as a sum of consecutive naturals, for example, 4701474086295 + ... + 4701474086505.

Almost surely, 2^{992011032230400} is an apocalyptic number.

992011032230400 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 992011032230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571117293961216).

992011032230400 is an abundant number, since it is smaller than the sum of its proper divisors (4150223555692032).

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

992011032230400 is a wasteful number, since it uses less digits than its factorization.

992011032230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 992011032230400 its reverse (4032230110299), we get a palindrome (996043262340699).

The spelling of 992011032230400 in words is "nine hundred ninety-two trillion, eleven billion, thirty-two million, two hundred thirty thousand, four hundred".