47315840334000 has 640 divisors, whose sum is σ = 183866818437120. Its totient is φ = 10226155392000.

The previous prime is 47315840333989. The next prime is 47315840334011. The reversal of 47315840334000 is 43304851374.

It is an interprime number because it is at equal distance from previous prime (47315840333989) and next prime (47315840334011).

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 127 ways as a sum of consecutive naturals, for example, 417297315 + ... + 417410685.

It is an arithmetic number, because the mean of its divisors is an integer number (287291903808).

Almost surely, 2^{47315840334000} is an apocalyptic number.

47315840334000 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 47315840334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91933409218560).

47315840334000 is an abundant number, since it is smaller than the sum of its proper divisors (136550978103120).

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

47315840334000 is a wasteful number, since it uses less digits than its factorization.

47315840334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113946 (or 113930 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 47315840334000 in words is "forty-seven trillion, three hundred fifteen billion, eight hundred forty million, three hundred thirty-four thousand".