51415741440 has 880 divisors, whose sum is σ = 214001568000. Its totient is φ = 11561730048.

The previous prime is 51415741423. The next prime is 51415741453. The reversal of 51415741440 is 4414751415.

51415741440 is a `hidden beast` number, since 5 + 1 + 41 + 574 + 1 + 4 + 40 = 666.

51415741440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 51415741395 and 51415741404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258370461 + ... + 258370659.

It is an arithmetic number, because the mean of its divisors is an integer number (243183600).

Almost surely, 2^51415741440 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 51415741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000784000).

51415741440 is an abundant number, since it is smaller than the sum of its proper divisors (162585826560).

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

51415741440 is a wasteful number, since it uses less digits than its factorization.

51415741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 51415741440 in words is "fifty-one billion, four hundred fifteen million, seven hundred forty-one thousand, four hundred forty".