51439069440 has 1440 divisors, whose sum is σ = 219243822336. Its totient is φ = 11386552320.

The previous prime is 51439069427. The next prime is 51439069441. The reversal of 51439069440 is 4496093415.

51439069440 is a `hidden beast` number, since 5 + 143 + 9 + 0 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51439069441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 970548454 + ... + 970548506.

Almost surely, 2^51439069440 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 51439069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109621911168).

51439069440 is an abundant number, since it is smaller than the sum of its proper divisors (167804752896).

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

51439069440 is a wasteful number, since it uses less digits than its factorization.

51439069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 51439069440 in words is "fifty-one billion, four hundred thirty-nine million, sixty-nine thousand, four hundred forty".