5141707683840 has 2592 divisors, whose sum is σ = 23587426830240. Its totient is φ = 1047435411456.

The previous prime is 5141707683829. The next prime is 5141707683851. The reversal of 5141707683840 is 483867071415.

5141707683840 is a `hidden beast` number, since 5 + 1 + 417 + 0 + 76 + 83 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5141707683829) and next prime (5141707683851).

It is a tau number, because it is divible by the number of its divisors (2592).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 177300264946 + ... + 177300264974.

Almost surely, 2^{5141707683840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141707683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793713415120).

5141707683840 is an abundant number, since it is smaller than the sum of its proper divisors (18445719146400).

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

5141707683840 is an frugal number, since it uses more digits than its factorization.

5141707683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 5141707683840 in words is "five trillion, one hundred forty-one billion, seven hundred seven million, six hundred eighty-three thousand, eight hundred forty".