51034199040 has 924 divisors, whose sum is σ = 203538114612. Its totient is φ = 12262440960.

The previous prime is 51034199039. The next prime is 51034199113. The reversal of 51034199040 is 4099143015.

It is a happy number.

51034199040 is a `hidden beast` number, since 510 + 3 + 4 + 19 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7316407296 + 43717791744 = 85536^2 + 209088^2 .

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 = 51034198986 and 51034199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 451630024 + ... + 451630136.

Almost surely, 2^51034199040 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 51034199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101769057306).

51034199040 is an abundant number, since it is smaller than the sum of its proper divisors (152503915572).

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

51034199040 is a wasteful number, since it uses less digits than its factorization.

51034199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Subtracting from 51034199040 its reverse (4099143015), we obtain a square (46935056025 = 216645²).

The spelling of 51034199040 in words is "fifty-one billion, thirty-four million, one hundred ninety-nine thousand, forty".