4870096358400 has 2376 divisors, whose sum is σ = 22671952495920. Its totient is φ = 1026700738560.

The previous prime is 4870096358317. The next prime is 4870096358431. The reversal of 4870096358400 is 48536900784.

4870096358400 is a `hidden beast` number, since 487 + 0 + 0 + 96 + 35 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 3962648986 + ... + 3962650214.

Almost surely, 2^{4870096358400} is an apocalyptic number.

4870096358400 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 4870096358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335976247960).

4870096358400 is an abundant number, since it is smaller than the sum of its proper divisors (17801856137520).

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

4870096358400 is a wasteful number, since it uses less digits than its factorization.

4870096358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4870096358400 in words is "four trillion, eight hundred seventy billion, ninety-six million, three hundred fifty-eight thousand, four hundred".