4792996454400 has 1344 divisors, whose sum is σ = 21955715458560. Its totient is φ = 995858841600.

The previous prime is 4792996454399. The next prime is 4792996454417. The reversal of 4792996454400 is 44546992974.

4792996454400 is a `hidden beast` number, since 4 + 7 + 9 + 29 + 9 + 64 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 425773572 + ... + 425784828.

Almost surely, 2^{4792996454400} is an apocalyptic number.

4792996454400 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 4792996454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977857729280).

4792996454400 is an abundant number, since it is smaller than the sum of its proper divisors (17162719004160).

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

4792996454400 is a wasteful number, since it uses less digits than its factorization.

4792996454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4792996454400 in words is "four trillion, seven hundred ninety-two billion, nine hundred ninety-six million, four hundred fifty-four thousand, four hundred".