5029418033640 has 1152 divisors, whose sum is σ = 22760539401600. Its totient is φ = 946456842240.

The previous prime is 5029418033611. The next prime is 5029418033641. The reversal of 5029418033640 is 463308149205.

5029418033640 is a `hidden beast` number, since 50 + 2 + 94 + 180 + 336 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5029418033641) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 133674751 + ... + 133712369.

It is an arithmetic number, because the mean of its divisors is an integer number (19757412675).

Almost surely, 2^{5029418033640} 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 5029418033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11380269700800).

5029418033640 is an abundant number, since it is smaller than the sum of its proper divisors (17731121367960).

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

5029418033640 is a wasteful number, since it uses less digits than its factorization.

5029418033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37727 (or 37713 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 5029418033640 in words is "five trillion, twenty-nine billion, four hundred eighteen million, thirty-three thousand, six hundred forty".