5144659740000 has 720 divisors, whose sum is σ = 20631735043920. Its totient is φ = 1204170240000.

The previous prime is 5144659739977. The next prime is 5144659740001. The reversal of 5144659740000 is 479564415.

5144659740000 is a `hidden beast` number, since 5 + 14 + 4 + 6 + 597 + 40 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144659740001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57375202 + ... + 57464798.

It is an arithmetic number, because the mean of its divisors is an integer number (28655187561).

Almost surely, 2^{5144659740000} is an apocalyptic number.

5144659740000 is a gapful number since it is divisible by the number (50) 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 5144659740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315867521960).

5144659740000 is an abundant number, since it is smaller than the sum of its proper divisors (15487075303920).

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

5144659740000 is a wasteful number, since it uses less digits than its factorization.

5144659740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89673 (or 89647 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5144659740000 in words is "five trillion, one hundred forty-four billion, six hundred fifty-nine million, seven hundred forty thousand".