4859063861400 has 1152 divisors, whose sum is σ = 19872388800000. Its totient is φ = 1087795215360.

The previous prime is 4859063861357. The next prime is 4859063861447. The reversal of 4859063861400 is 41683609584.

4859063861400 is a `hidden beast` number, since 4 + 8 + 590 + 6 + 3 + 8 + 6 + 1 + 40 + 0 = 666.

It is a super-2 number, since 2×4859063861400² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 6853404246 + ... + 6853404954.

It is an arithmetic number, because the mean of its divisors is an integer number (17250337500).

Almost surely, 2^{4859063861400} is an apocalyptic number.

4859063861400 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 4859063861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936194400000).

4859063861400 is an abundant number, since it is smaller than the sum of its proper divisors (15013324938600).

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

4859063861400 is a wasteful number, since it uses less digits than its factorization.

4859063861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4859063861400 in words is "four trillion, eight hundred fifty-nine billion, sixty-three million, eight hundred sixty-one thousand, four hundred".