51442322324415 has 192 divisors, whose sum is σ = 92764251095040. Its totient is φ = 24141378562560.

The previous prime is 51442322324413. The next prime is 51442322324417.

51442322324415 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (51442322324413) and next prime (51442322324417).

It is not a de Polignac number, because 51442322324415 - 2¹ = 51442322324413 is a prime.

It is a super-2 number, since 2×51442322324415² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51442322324413) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62203533232 + ... + 62203534058.

It is an arithmetic number, because the mean of its divisors is an integer number (483147141120).

Almost surely, 2^{51442322324415} is an apocalyptic number.

51442322324415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51442322324415 is a deficient number, since it is larger than the sum of its proper divisors (41321928770625).

51442322324415 is a wasteful number, since it uses less digits than its factorization.

51442322324415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1985 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 5144232 and 2324415, that added together give a palindrome (7468647).

The spelling of 51442322324415 in words is "fifty-one trillion, four hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred fifteen".