4900336358400 has 2112 divisors, whose sum is σ = 21828070850560. Its totient is φ = 1053455155200.

The previous prime is 4900336358399. The next prime is 4900336358497. The reversal of 4900336358400 is 48536330094.

4900336358400 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 3 + 3 + 63 + 584 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 5549644359 + ... + 5549645241.

Almost surely, 2^{4900336358400} is an apocalyptic number.

4900336358400 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 4900336358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10914035425280).

4900336358400 is an abundant number, since it is smaller than the sum of its proper divisors (16927734492160).

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

4900336358400 is a wasteful number, since it uses less digits than its factorization.

4900336358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4900336358400 in words is "four trillion, nine hundred billion, three hundred thirty-six million, three hundred fifty-eight thousand, four hundred".