47241799244640 has 4608 divisors, whose sum is σ = 244543032115200. Its totient is φ = 8284672327680.

The previous prime is 47241799244599. The next prime is 47241799244687. The reversal of 47241799244640 is 4644299714274.

47241799244640 is a `hidden beast` number, since 4 + 7 + 241 + 7 + 99 + 244 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 21444301779 + ... + 21444303981.

It is an arithmetic number, because the mean of its divisors is an integer number (53069234400).

Almost surely, 2^{47241799244640} is an apocalyptic number.

47241799244640 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 47241799244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122271516057600).

47241799244640 is an abundant number, since it is smaller than the sum of its proper divisors (197301232870560).

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

47241799244640 is a wasteful number, since it uses less digits than its factorization.

47241799244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 47241799244640 in words is "forty-seven trillion, two hundred forty-one billion, seven hundred ninety-nine million, two hundred forty-four thousand, six hundred forty".