4861400544 has 864 divisors, whose sum is σ = 19791868320. Its totient is φ = 1149603840.

The previous prime is 4861400483. The next prime is 4861400581. The reversal of 4861400544 is 4450041684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4861400499 and 4861400508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66594492 + ... + 66594564.

It is an arithmetic number, because the mean of its divisors is an integer number (22907255).

Almost surely, 2^4861400544 is an apocalyptic number.

4861400544 is a gapful number since it is divisible by the number (44) 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 4861400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895934160).

4861400544 is an abundant number, since it is smaller than the sum of its proper divisors (14930467776).

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

4861400544 is a wasteful number, since it uses less digits than its factorization.

4861400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4861400544 is about 69723.7444777602. The cubic root of 4861400544 is about 1694.0275477614.

The spelling of 4861400544 in words is "four billion, eight hundred sixty-one million, four hundred thousand, five hundred forty-four".