4992351084000 has 2880 divisors, whose sum is σ = 22332836477952. Its totient is φ = 1088204544000.

The previous prime is 4992351083987. The next prime is 4992351084139. The reversal of 4992351084000 is 4801532994.

4992351084000 is a `hidden beast` number, since 4 + 9 + 9 + 235 + 1 + 0 + 8 + 400 + 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, 48469427949 + ... + 48469428051.

Almost surely, 2^{4992351084000} is an apocalyptic number.

4992351084000 is a gapful number since it is divisible by the number (40) 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 4992351084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166418238976).

4992351084000 is an abundant number, since it is smaller than the sum of its proper divisors (17340485393952).

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

4992351084000 is a wasteful number, since it uses less digits than its factorization.

4992351084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4992351084000 in words is "four trillion, nine hundred ninety-two billion, three hundred fifty-one million, eighty-four thousand".