4921244294400 has 2160 divisors, whose sum is σ = 22092127263360. Its totient is φ = 1055843942400.

The previous prime is 4921244294341. The next prime is 4921244294423. The reversal of 4921244294400 is 44924421294.

4921244294400 is a `hidden beast` number, since 4 + 9 + 212 + 4 + 4 + 29 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9445766140 + ... + 9445766660.

It is an arithmetic number, because the mean of its divisors is an integer number (10227836696).

Almost surely, 2^{4921244294400} is an apocalyptic number.

4921244294400 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 4921244294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046063631680).

4921244294400 is an abundant number, since it is smaller than the sum of its proper divisors (17170882968960).

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

4921244294400 is a wasteful number, since it uses less digits than its factorization.

4921244294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4921244294400 in words is "four trillion, nine hundred twenty-one billion, two hundred forty-four million, two hundred ninety-four thousand, four hundred".