47601821738240 has 648 divisors, whose sum is σ = 146065741959816. Its totient is φ = 14808979046400.

The previous prime is 47601821738203. The next prime is 47601821738243. The reversal of 47601821738240 is 4283712810674.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8092249817344 + 39509571920896 = 2844688^2 + 6285664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47601821738243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4227134210 + ... + 4227145470.

It is an arithmetic number, because the mean of its divisors is an integer number (225410095617).

Almost surely, 2^{47601821738240} is an apocalyptic number.

47601821738240 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 47601821738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73032870979908).

47601821738240 is an abundant number, since it is smaller than the sum of its proper divisors (98463920221576).

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

47601821738240 is a wasteful number, since it uses less digits than its factorization.

47601821738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 47601821738240 in words is "forty-seven trillion, six hundred one billion, eight hundred twenty-one million, seven hundred thirty-eight thousand, two hundred forty".