992142950400 has 1368 divisors, whose sum is σ = 4259559245760. Its totient is φ = 224227491840.

The previous prime is 992142950389. The next prime is 992142950423. The reversal of 992142950400 is 4059241299.

992142950400 is a `hidden beast` number, since 9 + 9 + 214 + 29 + 5 + 0 + 400 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11147673556 + ... + 11147673644.

Almost surely, 2^992142950400 is an apocalyptic number.

992142950400 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 992142950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129779622880).

992142950400 is an abundant number, since it is smaller than the sum of its proper divisors (3267416295360).

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

992142950400 is an frugal number, since it uses more digits than its factorization.

992142950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 992142950400 in words is "nine hundred ninety-two billion, one hundred forty-two million, nine hundred fifty thousand, four hundred".