5140103240000 has 280 divisors, whose sum is σ = 13080448291680. Its totient is φ = 2002620672000.

The previous prime is 5140103239937. The next prime is 5140103240029. The reversal of 5140103240000 is 423010415.

It is a super-2 number, since 2×5140103240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 294671279 + ... + 294688721.

It is an arithmetic number, because the mean of its divisors is an integer number (46715886756).

Almost surely, 2^{5140103240000} is an apocalyptic number.

5140103240000 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 5140103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540224145840).

5140103240000 is an abundant number, since it is smaller than the sum of its proper divisors (7940345051680).

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

5140103240000 is a wasteful number, since it uses less digits than its factorization.

5140103240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17667 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 5140103240000 its reverse (423010415), we get a palindrome (5140526250415).

The spelling of 5140103240000 in words is "five trillion, one hundred forty billion, one hundred three million, two hundred forty thousand".