5742455040 has 432 divisors, whose sum is σ = 23711708160. Its totient is φ = 1312174080.

The previous prime is 5742455021. The next prime is 5742455071. The reversal of 5742455040 is 405542475.

It is a happy number.

5742455040 is a `hidden beast` number, since 574 + 2 + 45 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 5742454986 and 5742455004.

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 47 ways as a sum of consecutive naturals, for example, 1691745 + ... + 1695135.

Almost surely, 2^5742455040 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 5742455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855854080).

5742455040 is an abundant number, since it is smaller than the sum of its proper divisors (17969253120).

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

5742455040 is a wasteful number, since it uses less digits than its factorization.

5742455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 5742455040 is about 75778.9881167596. The cubic root of 5742455040 is about 1790.7399996864.

The spelling of 5742455040 in words is "five billion, seven hundred forty-two million, four hundred fifty-five thousand, forty".