51002040253440 has 176 divisors, whose sum is σ = 163174141067040. Its totient is φ = 13596600238080.

The previous prime is 51002040253421. The next prime is 51002040253459. The reversal of 51002040253440 is 4435204020015.

It is an interprime number because it is at equal distance from previous prime (51002040253421) and next prime (51002040253459).

It is a super-2 number, since 2×51002040253440² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51002040253398 and 51002040253407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52681266 + ... + 53640654.

Almost surely, 2^{51002040253440} 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 51002040253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81587070533520).

51002040253440 is an abundant number, since it is smaller than the sum of its proper divisors (112172100813600).

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

51002040253440 is a wasteful number, since it uses less digits than its factorization.

51002040253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962878 (or 962860 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 51002040253440 its reverse (4435204020015), we get a palindrome (55437244273455).

The spelling of 51002040253440 in words is "fifty-one trillion, two billion, forty million, two hundred fifty-three thousand, four hundred forty".