5753341440 has 1280 divisors, whose sum is σ = 27152547840. Its totient is φ = 1119191040.

The previous prime is 5753341439. The next prime is 5753341469. The reversal of 5753341440 is 441433575.

5753341440 is a `hidden beast` number, since 575 + 3 + 3 + 41 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 5753341395 and 5753341404.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 122411497 + ... + 122411543.

It is an arithmetic number, because the mean of its divisors is an integer number (21212928).

Almost surely, 2^5753341440 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 5753341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576273920).

5753341440 is an abundant number, since it is smaller than the sum of its proper divisors (21399206400).

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

5753341440 is a wasteful number, since it uses less digits than its factorization.

5753341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5753341440 is about 75850.7840434099. The cubic root of 5753341440 is about 1791.8708984374.

The spelling of 5753341440 in words is "five billion, seven hundred fifty-three million, three hundred forty-one thousand, four hundred forty".