4956091920000 has 1280 divisors, whose sum is σ = 19936530768000. Its totient is φ = 1219401216000.

The previous prime is 4956091919981. The next prime is 4956091920019. The reversal of 4956091920000 is 291906594.

4956091920000 is a `hidden beast` number, since 4 + 9 + 5 + 609 + 19 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4956091919981) and next prime (4956091920019).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2274478911 + ... + 2274481089.

Almost surely, 2^{4956091920000} is an apocalyptic number.

4956091920000 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 4956091920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968265384000).

4956091920000 is an abundant number, since it is smaller than the sum of its proper divisors (14980438848000).

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

4956091920000 is an frugal number, since it uses more digits than its factorization.

4956091920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 4956091920000 in words is "four trillion, nine hundred fifty-six billion, ninety-one million, nine hundred twenty thousand".