5151440410050 has 384 divisors, whose sum is σ = 14506549521408. Its totient is φ = 1198858752000.

The previous prime is 5151440410031. The next prime is 5151440410117. The reversal of 5151440410050 is 500140441515.

It is a super-2 number, since 2×5151440410050² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2701331197 + ... + 2701333103.

It is an arithmetic number, because the mean of its divisors is an integer number (37777472712).

Almost surely, 2^{5151440410050} is an apocalyptic number.

5151440410050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151440410050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253274760704).

5151440410050 is an abundant number, since it is smaller than the sum of its proper divisors (9355109111358).

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

5151440410050 is a wasteful number, since it uses less digits than its factorization.

5151440410050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 5151440410050 its reverse (500140441515), we get a palindrome (5651580851565).

The spelling of 5151440410050 in words is "five trillion, one hundred fifty-one billion, four hundred forty million, four hundred ten thousand, fifty".