5740511040 has 1008 divisors, whose sum is σ = 24890577600. Its totient is φ = 1240842240.

The previous prime is 5740511033. The next prime is 5740511041. The reversal of 5740511040 is 401150475.

It is a happy number.

5740511040 is a `hidden beast` number, since 574 + 0 + 51 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5740510995 and 5740511013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740511041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302132151 + ... + 302132169.

Almost surely, 2^5740511040 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 5740511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445288800).

5740511040 is an abundant number, since it is smaller than the sum of its proper divisors (19150066560).

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

5740511040 is a wasteful number, since it uses less digits than its factorization.

5740511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5740511040 is about 75766.1602564100. The cubic root of 5740511040 is about 1790.5379031127.

The spelling of 5740511040 in words is "five billion, seven hundred forty million, five hundred eleven thousand, forty".