47042937907200 has 2880 divisors, whose sum is σ = 195831864708480. Its totient is φ = 11099260846080.

The previous prime is 47042937907193. The next prime is 47042937907261. The reversal of 47042937907200 is 270973924074.

47042937907200 is a `hidden beast` number, since 4 + 7 + 0 + 429 + 3 + 7 + 9 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 108644198184 + ... + 108644198616.

It is an arithmetic number, because the mean of its divisors is an integer number (67997175246).

Almost surely, 2^{47042937907200} is an apocalyptic number.

47042937907200 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 47042937907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97915932354240).

47042937907200 is an abundant number, since it is smaller than the sum of its proper divisors (148788926801280).

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

47042937907200 is a wasteful number, since it uses less digits than its factorization.

47042937907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 47042937907200 in words is "forty-seven trillion, forty-two billion, nine hundred thirty-seven million, nine hundred seven thousand, two hundred".