4865977862400 has 432 divisors, whose sum is σ = 16513952039424. Its totient is φ = 1260902154240.

The previous prime is 4865977862341. The next prime is 4865977862423. The reversal of 4865977862400 is 42687795684.

It is a happy 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, 613071232 + ... + 613079168.

It is an arithmetic number, because the mean of its divisors is an integer number (38226740832).

Almost surely, 2^{4865977862400} is an apocalyptic number.

4865977862400 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 4865977862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256976019712).

4865977862400 is an abundant number, since it is smaller than the sum of its proper divisors (11647974177024).

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

4865977862400 is a wasteful number, since it uses less digits than its factorization.

4865977862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 4865977862400 in words is "four trillion, eight hundred sixty-five billion, nine hundred seventy-seven million, eight hundred sixty-two thousand, four hundred".