51426109440000 has 1575 divisors, whose sum is σ = 195041730779203. Its totient is φ = 13548404736000.

The previous prime is 51426109439921. The next prime is 51426109440023. The reversal of 51426109440000 is 4490162415.

The square root of 51426109440000 is 7171200.

It is a perfect power (a square), and thus also a powerful number.

51426109440000 is a `hidden beast` number, since 5 + 142 + 6 + 109 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4031806980096 + 47394302459904 = 2007936^2 + 6884352^2 .

It is a super-2 number, since 2×51426109440000² (a number of 28 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 619591679959 + ... + 619591680041.

Almost surely, 2^{51426109440000} is an apocalyptic number.

51426109440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51426109440000 is the 7171200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51426109440000

51426109440000 is an abundant number, since it is smaller than the sum of its proper divisors (143615621339203).

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

51426109440000 is an frugal number, since it uses more digits than its factorization.

51426109440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

51426109440000 divided by its sum of digits (36) gives a square (1428503040000 = 1195200²).

The spelling of 51426109440000 in words is "fifty-one trillion, four hundred twenty-six billion, one hundred nine million, four hundred forty thousand".