5641075440 has 640 divisors, whose sum is σ = 26098329600. Its totient is φ = 1081589760.

The previous prime is 5641075423. The next prime is 5641075477. The reversal of 5641075440 is 445701465.

5641075440 is a `hidden beast` number, since 5 + 6 + 4 + 107 + 544 + 0 = 666.

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 = 5641075395 and 5641075404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2160856 + ... + 2163464.

It is an arithmetic number, because the mean of its divisors is an integer number (40778640).

Almost surely, 2^5641075440 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 5641075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049164800).

5641075440 is an abundant number, since it is smaller than the sum of its proper divisors (20457254160).

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

5641075440 is a wasteful number, since it uses less digits than its factorization.

5641075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5641075440 is about 75107.0931403952. The cubic root of 5641075440 is about 1780.1392223723.

The spelling of 5641075440 in words is "five billion, six hundred forty-one million, seventy-five thousand, four hundred forty".