5105430419040 has 3072 divisors, whose sum is σ = 23345705779200. Its totient is φ = 1015831756800.

The previous prime is 5105430419029. The next prime is 5105430419051. The reversal of 5105430419040 is 409140345015.

It is a happy number.

5105430419040 is a `hidden beast` number, since 510 + 54 + 3 + 0 + 4 + 1 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5105430419029) and next prime (5105430419051).

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 = 5105430418986 and 5105430419004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40200239457 + ... + 40200239583.

It is an arithmetic number, because the mean of its divisors is an integer number (7599513600).

Almost surely, 2^{5105430419040} 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 5105430419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672852889600).

5105430419040 is an abundant number, since it is smaller than the sum of its proper divisors (18240275360160).

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

5105430419040 is a wasteful number, since it uses less digits than its factorization.

5105430419040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5105430419040 in words is "five trillion, one hundred five billion, four hundred thirty million, four hundred nineteen thousand, forty".