47964396444000 has 192 divisors, whose sum is σ = 157140436078080. Its totient is φ = 12789767155200.

The previous prime is 47964396443993. The next prime is 47964396444067. The reversal of 47964396444000 is 44469346974.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226202029 + ... + 226413971.

It is an arithmetic number, because the mean of its divisors is an integer number (818439771240).

Almost surely, 2^{47964396444000} is an apocalyptic number.

47964396444000 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 47964396444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78570218039040).

47964396444000 is an abundant number, since it is smaller than the sum of its proper divisors (109176039634080).

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

47964396444000 is a wasteful number, since it uses less digits than its factorization.

47964396444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230830 (or 230812 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 47964396444000 in words is "forty-seven trillion, nine hundred sixty-four billion, three hundred ninety-six million, four hundred forty-four thousand".