5730153440 has 144 divisors (see below), whose sum is σ = 15245087760. Its totient is φ = 2032588800.

The previous prime is 5730153439. The next prime is 5730153463. The reversal of 5730153440 is 443510375.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5730153397 and 5730153406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790151 + ... + 797369.

It is an arithmetic number, because the mean of its divisors is an integer number (105868665).

Almost surely, 2^5730153440 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 5730153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622543880).

5730153440 is an abundant number, since it is smaller than the sum of its proper divisors (9514934320).

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

5730153440 is a wasteful number, since it uses less digits than its factorization.

5730153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 5730153440 is about 75697.7769818903. The cubic root of 5730153440 is about 1789.4603660297.

The spelling of 5730153440 in words is "five billion, seven hundred thirty million, one hundred fifty-three thousand, four hundred forty".