53041209661440 has 6912 divisors, whose sum is σ = 275374427328000. Its totient is φ = 9564703948800.

The previous prime is 53041209661423. The next prime is 53041209661441. The reversal of 53041209661440 is 4416690214035.

53041209661440 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 1 + 20 + 9 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53041209661441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 404894730175 + ... + 404894730305.

It is an arithmetic number, because the mean of its divisors is an integer number (39840050250).

Almost surely, 2^{53041209661440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53041209661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137687213664000).

53041209661440 is an abundant number, since it is smaller than the sum of its proper divisors (222333217666560).

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

53041209661440 is a wasteful number, since it uses less digits than its factorization.

53041209661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 53041209661440 its reverse (4416690214035), we get a palindrome (57457899875475).

The spelling of 53041209661440 in words is "fifty-three trillion, forty-one billion, two hundred nine million, six hundred sixty-one thousand, four hundred forty".