51140343533400 has 576 divisors, whose sum is σ = 189097316104320. Its totient is φ = 12282768691200.

The previous prime is 51140343533317. The next prime is 51140343533423. The reversal of 51140343533400 is 433534304115.

51140343533400 is a `hidden beast` number, since 5 + 1 + 1 + 40 + 3 + 43 + 533 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9493285507 + ... + 9493290893.

It is an arithmetic number, because the mean of its divisors is an integer number (328293951570).

Almost surely, 2^{51140343533400} is an apocalyptic number.

51140343533400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51140343533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548658052160).

51140343533400 is an abundant number, since it is smaller than the sum of its proper divisors (137956972570920).

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

51140343533400 is a wasteful number, since it uses less digits than its factorization.

51140343533400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 51140343533400 its reverse (433534304115), we get a palindrome (51573877837515).

The spelling of 51140343533400 in words is "fifty-one trillion, one hundred forty billion, three hundred forty-three million, five hundred thirty-three thousand, four hundred".