47122671206400 has 456 divisors, whose sum is σ = 156098023715040. Its totient is φ = 12543527485440.

The previous prime is 47122671206399. The next prime is 47122671206411. The reversal of 47122671206400 is 460217622174.

It is a super-2 number, since 2×47122671206400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12956465382 + ... + 12956469018.

Almost surely, 2^{47122671206400} is an apocalyptic number.

47122671206400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47122671206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78049011857520).

47122671206400 is an abundant number, since it is smaller than the sum of its proper divisors (108975352508640).

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

47122671206400 is an frugal number, since it uses more digits than its factorization.

47122671206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

Adding to 47122671206400 its reverse (460217622174), we get a palindrome (47582888828574).

The spelling of 47122671206400 in words is "forty-seven trillion, one hundred twenty-two billion, six hundred seventy-one million, two hundred six thousand, four hundred".