5006416343040 has 832 divisors, whose sum is σ = 20628675717120. Its totient is φ = 1128144568320.

The previous prime is 5006416343029. The next prime is 5006416343053. The reversal of 5006416343040 is 403436146005.

5006416343040 is a `hidden beast` number, since 5 + 0 + 0 + 64 + 163 + 430 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5006416342986 and 5006416343004.

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 63 ways as a sum of consecutive naturals, for example, 274812012 + ... + 274830228.

Almost surely, 2^{5006416343040} 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 5006416343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10314337858560).

5006416343040 is an abundant number, since it is smaller than the sum of its proper divisors (15622259374080).

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

5006416343040 is a wasteful number, since it uses less digits than its factorization.

5006416343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 5006416343040 in words is "five trillion, six billion, four hundred sixteen million, three hundred forty-three thousand, forty".