41721661440 has 576 divisors, whose sum is σ = 156689769600. Its totient is φ = 10642046976.

The previous prime is 41721661439. The next prime is 41721661453. The reversal of 41721661440 is 4416612714.

It is a happy number.

41721661440 is a `hidden beast` number, since 4 + 17 + 21 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 41721661395 and 41721661404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813985269 + ... + 1813985291.

It is an arithmetic number, because the mean of its divisors is an integer number (272030850).

Almost surely, 2^41721661440 is an apocalyptic number.

41721661440 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 41721661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78344884800).

41721661440 is an abundant number, since it is smaller than the sum of its proper divisors (114968108160).

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

41721661440 is an frugal number, since it uses more digits than its factorization.

41721661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41721661440 in words is "forty-one billion, seven hundred twenty-one million, six hundred sixty-one thousand, four hundred forty".