4925784614400 has 480 divisors, whose sum is σ = 19470812850720. Its totient is φ = 1212499722240.

The previous prime is 4925784614393. The next prime is 4925784614417. The reversal of 4925784614400 is 44164875294.

4925784614400 is a `hidden beast` number, since 4 + 9 + 2 + 578 + 4 + 61 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3944614 + ... + 5040986.

It is an arithmetic number, because the mean of its divisors is an integer number (40564193439).

Almost surely, 2^{4925784614400} is an apocalyptic number.

4925784614400 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 4925784614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735406425360).

4925784614400 is an abundant number, since it is smaller than the sum of its proper divisors (14545028236320).

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

4925784614400 is a wasteful number, since it uses less digits than its factorization.

4925784614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096423 (or 1096396 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4925784614400 in words is "four trillion, nine hundred twenty-five billion, seven hundred eighty-four million, six hundred fourteen thousand, four hundred".