5745101040 has 960 divisors, whose sum is σ = 25404088320. Its totient is φ = 1184440320.

The previous prime is 5745101029. The next prime is 5745101051. The reversal of 5745101040 is 401015475.

It is a happy number.

5745101040 is a `hidden beast` number, since 574 + 51 + 0 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5745101029) and next prime (5745101051).

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 = 5745100995 and 5745101013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55777629 + ... + 55777731.

It is an arithmetic number, because the mean of its divisors is an integer number (26462592).

Almost surely, 2^5745101040 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 5745101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702044160).

5745101040 is an abundant number, since it is smaller than the sum of its proper divisors (19658987280).

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

5745101040 is a wasteful number, since it uses less digits than its factorization.

5745101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

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

The square root of 5745101040 is about 75796.4447715063. Note that the first 3 decimals coincide. The cubic root of 5745101040 is about 1791.0150023013.

The spelling of 5745101040 in words is "five billion, seven hundred forty-five million, one hundred one thousand, forty".