51504414305440 has 48 divisors (see below), whose sum is σ = 121744353138912. Its totient is φ = 20590730913024.

The previous prime is 51504414305297. The next prime is 51504414305447. The reversal of 51504414305440 is 4450341440515.

It is a super-2 number, since 2×51504414305440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 51504414305393 and 51504414305402.

It is not an unprimeable number, because it can be changed into a prime (51504414305447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85909794 + ... + 86507233.

It is an arithmetic number, because the mean of its divisors is an integer number (2536340690394).

Almost surely, 2^{51504414305440} is an apocalyptic number.

It is an amenable number.

51504414305440 is an abundant number, since it is smaller than the sum of its proper divisors (70239938833472).

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

51504414305440 is a wasteful number, since it uses less digits than its factorization.

51504414305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172418909 (or 172418901 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 51504414305440 its reverse (4450341440515), we get a palindrome (55954755745955).

The spelling of 51504414305440 in words is "fifty-one trillion, five hundred four billion, four hundred fourteen million, three hundred five thousand, four hundred forty".