47333341440000 has 4800 divisors, whose sum is σ = 226616422032000. Its totient is φ = 9835499520000.

The previous prime is 47333341439971. The next prime is 47333341440041. The reversal of 47333341440000 is 4414333374.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 46200 × 27720 × 36960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4303031039995 + ... + 4303031040005.

It is an arithmetic number, because the mean of its divisors is an integer number (47211754590).

Almost surely, 2^{47333341440000} is an apocalyptic number.

47333341440000 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 47333341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113308211016000).

47333341440000 is an abundant number, since it is smaller than the sum of its proper divisors (179283080592000).

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

47333341440000 is an frugal number, since it uses more digits than its factorization.

47333341440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 47333341440000 its reverse (4414333374), we get a palindrome (47337755773374).

The spelling of 47333341440000 in words is "forty-seven trillion, three hundred thirty-three billion, three hundred forty-one million, four hundred forty thousand".