47071485110400 has 384 divisors, whose sum is σ = 155663680011840. Its totient is φ = 12502092595200.

The previous prime is 47071485110371. The next prime is 47071485110407. The reversal of 47071485110400 is 401158417074.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (47071485110407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5994072874 + ... + 5994080726.

Almost surely, 2^{47071485110400} is an apocalyptic number.

47071485110400 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 47071485110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77831840005920).

47071485110400 is an abundant number, since it is smaller than the sum of its proper divisors (108592194901440).

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

47071485110400 is a wasteful number, since it uses less digits than its factorization.

47071485110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 47071485110400 in words is "forty-seven trillion, seventy-one billion, four hundred eighty-five million, one hundred ten thousand, four hundred".