4926402201600 has 3456 divisors, whose sum is σ = 22447938240000. Its totient is φ = 1046819635200.

The previous prime is 4926402201599. The next prime is 4926402201631. The reversal of 4926402201600 is 61022046294.

4926402201600 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 40 + 2 + 2 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83498342371 + ... + 83498342429.

It is an arithmetic number, because the mean of its divisors is an integer number (6495352500).

Almost surely, 2^{4926402201600} is an apocalyptic number.

4926402201600 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 4926402201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223969120000).

4926402201600 is an abundant number, since it is smaller than the sum of its proper divisors (17521536038400).

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

4926402201600 is a wasteful number, since it uses less digits than its factorization.

4926402201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 4926402201600 its reverse (61022046294), we get a palindrome (4987424247894).

The spelling of 4926402201600 in words is "four trillion, nine hundred twenty-six billion, four hundred two million, two hundred one thousand, six hundred".