47240845638800 has 240 divisors, whose sum is σ = 128104590156480. Its totient is φ = 16583384832000.

The previous prime is 47240845638743. The next prime is 47240845638821. The reversal of 47240845638800 is 883654804274.

It is a self number, because there is not a number n which added to its sum of digits gives 47240845638800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868035590 + ... + 868090010.

It is an arithmetic number, because the mean of its divisors is an integer number (533769125652).

Almost surely, 2^{47240845638800} is an apocalyptic number.

47240845638800 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 47240845638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64052295078240).

47240845638800 is an abundant number, since it is smaller than the sum of its proper divisors (80863744517680).

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

47240845638800 is a wasteful number, since it uses less digits than its factorization.

47240845638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61282 (or 61271 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 59.

The spelling of 47240845638800 in words is "forty-seven trillion, two hundred forty billion, eight hundred forty-five million, six hundred thirty-eight thousand, eight hundred".