5110402314402 has 384 divisors, whose sum is σ = 14541300154368. Its totient is φ = 1257705187200.

The previous prime is 5110402314317. The next prime is 5110402314419. The reversal of 5110402314402 is 2044132040115.

5110402314402 is a `hidden beast` number, since 5 + 110 + 402 + 3 + 144 + 0 + 2 = 666.

It is a super-2 number, since 2×5110402314402² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1526858893 + ... + 1526862239.

It is an arithmetic number, because the mean of its divisors is an integer number (37867969152).

Almost surely, 2^{5110402314402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110402314402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270650077184).

5110402314402 is an abundant number, since it is smaller than the sum of its proper divisors (9430897839966).

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

5110402314402 is a wasteful number, since it uses less digits than its factorization.

5110402314402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 5110402314402 its reverse (2044132040115), we get a palindrome (7154534354517).

The spelling of 5110402314402 in words is "five trillion, one hundred ten billion, four hundred two million, three hundred fourteen thousand, four hundred two".