51142313133440 has 64 divisors (see below), whose sum is σ = 122378423242320. Its totient is φ = 20437460736000.

The previous prime is 51142313133371. The next prime is 51142313133449. The reversal of 51142313133440 is 4433131324115.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×51142313133440² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51142313133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51142313133449) 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, 37343471 + ... + 38688750.

Almost surely, 2^{51142313133440} is an apocalyptic number.

It is an amenable number.

51142313133440 is an abundant number, since it is smaller than the sum of its proper divisors (71236110108880).

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

51142313133440 is a wasteful number, since it uses less digits than its factorization.

51142313133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76033291 (or 76033279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 51142313133440 its reverse (4433131324115), we get a palindrome (55575444457555).

The spelling of 51142313133440 in words is "fifty-one trillion, one hundred forty-two billion, three hundred thirteen million, one hundred thirty-three thousand, four hundred forty".