47823721021440 has 2880 divisors, whose sum is σ = 215293345344000. Its totient is φ = 10063227912192.

The previous prime is 47823721021361. The next prime is 47823721021487. The reversal of 47823721021440 is 4412012732874.

47823721021440 is a `hidden beast` number, since 4 + 78 + 2 + 37 + 2 + 102 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128213729094 + ... + 128213729466.

It is an arithmetic number, because the mean of its divisors is an integer number (74754633800).

Almost surely, 2^{47823721021440} is an apocalyptic number.

47823721021440 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 47823721021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107646672672000).

47823721021440 is an abundant number, since it is smaller than the sum of its proper divisors (167469624322560).

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

47823721021440 is an equidigital number, since it uses as much as digits as its factorization.

47823721021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 47823721021440 in words is "forty-seven trillion, eight hundred twenty-three billion, seven hundred twenty-one million, twenty-one thousand, four hundred forty".