51842179440 has 640 divisors, whose sum is σ = 199165824000. Its totient is φ = 12339081216.

The previous prime is 51842179429. The next prime is 51842179451. The reversal of 51842179440 is 4497124815.

51842179440 is a `hidden beast` number, since 5 + 184 + 21 + 7 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (51842179429) and next prime (51842179451).

It is a super-2 number, since 2×51842179440² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51176374 + ... + 51177386.

It is an arithmetic number, because the mean of its divisors is an integer number (311196600).

Almost surely, 2^51842179440 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 51842179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912000).

51842179440 is an abundant number, since it is smaller than the sum of its proper divisors (147323644560).

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

51842179440 is a wasteful number, since it uses less digits than its factorization.

51842179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 51842179440 in words is "fifty-one billion, eight hundred forty-two million, one hundred seventy-nine thousand, four hundred forty".