47261944800000 has 3456 divisors, whose sum is σ = 214943502735360. Its totient is φ = 10122485760000.

The previous prime is 47261944799989. The next prime is 47261944800001. The reversal of 47261944800000 is 844916274.

47261944800000 is a `hidden beast` number, since 472 + 61 + 9 + 44 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (47261944800001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 208202399887 + ... + 208202400113.

It is an arithmetic number, because the mean of its divisors is an integer number (62194300560).

Almost surely, 2^{47261944800000} is an apocalyptic number.

47261944800000 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 47261944800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107471751367680).

47261944800000 is an abundant number, since it is smaller than the sum of its proper divisors (167681557935360).

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

47261944800000 is an frugal number, since it uses more digits than its factorization.

47261944800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47261944800000 in words is "forty-seven trillion, two hundred sixty-one billion, nine hundred forty-four million, eight hundred thousand".