47191403212800 has 1872 divisors, whose sum is σ = 196987767809280. Its totient is φ = 9756750643200.

The previous prime is 47191403212787. The next prime is 47191403212859. The reversal of 47191403212800 is 821230419174.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76238130891 + ... + 76238131509.

Almost surely, 2^{47191403212800} is an apocalyptic number.

47191403212800 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 47191403212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98493883904640).

47191403212800 is an abundant number, since it is smaller than the sum of its proper divisors (149796364596480).

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

47191403212800 is a wasteful number, since it uses less digits than its factorization.

47191403212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 47191403212800 in words is "forty-seven trillion, one hundred ninety-one billion, four hundred three million, two hundred twelve thousand, eight hundred".