5124079404000 has 576 divisors, whose sum is σ = 18790507008000. Its totient is φ = 1321038720000.

The previous prime is 5124079403987. The next prime is 5124079404011. The reversal of 5124079404000 is 4049704215.

It is a happy number.

5124079404000 is a `hidden beast` number, since 5 + 1 + 240 + 7 + 9 + 4 + 0 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1708594501 + ... + 1708597499.

It is an arithmetic number, because the mean of its divisors is an integer number (32622408000).

Almost surely, 2^{5124079404000} is an apocalyptic number.

5124079404000 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 5124079404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395253504000).

5124079404000 is an abundant number, since it is smaller than the sum of its proper divisors (13666427604000).

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

5124079404000 is a wasteful number, since it uses less digits than its factorization.

5124079404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5124079404000 in words is "five trillion, one hundred twenty-four billion, seventy-nine million, four hundred four thousand".