4743544861440 has 720 divisors, whose sum is σ = 21161516302080. Its totient is φ = 985670000640.

The previous prime is 4743544861387. The next prime is 4743544861553. The reversal of 4743544861440 is 441684453474.

It is a happy number.

4743544861440 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 544 + 86 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7686271 + ... + 8280449.

It is an arithmetic number, because the mean of its divisors is an integer number (29390994864).

Almost surely, 2^{4743544861440} is an apocalyptic number.

4743544861440 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 4743544861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10580758151040).

4743544861440 is an abundant number, since it is smaller than the sum of its proper divisors (16417971440640).

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

4743544861440 is a wasteful number, since it uses less digits than its factorization.

4743544861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594230 (or 594207 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 4743544861440 in words is "four trillion, seven hundred forty-three billion, five hundred forty-four million, eight hundred sixty-one thousand, four hundred forty".