4987942502400 has 3072 divisors, whose sum is σ = 22935782016000. Its totient is φ = 1044696268800.

The previous prime is 4987942502363. The next prime is 4987942502423. The reversal of 4987942502400 is 42052497894.

It is a happy number.

4987942502400 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 94 + 2 + 502 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60095692759 + ... + 60095692841.

It is an arithmetic number, because the mean of its divisors is an integer number (7466074875).

Almost surely, 2^{4987942502400} is an apocalyptic number.

4987942502400 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 4987942502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467891008000).

4987942502400 is an abundant number, since it is smaller than the sum of its proper divisors (17947839513600).

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

4987942502400 is a wasteful number, since it uses less digits than its factorization.

4987942502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

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

The spelling of 4987942502400 in words is "four trillion, nine hundred eighty-seven billion, nine hundred forty-two million, five hundred two thousand, four hundred".