240300442152 has 128 divisors (see below), whose sum is σ = 677188512000. Its totient is φ = 78943518720.

The previous prime is 240300442141. The next prime is 240300442163. The reversal of 240300442152 is 251244003042.

240300442152 is a `hidden beast` number, since 2 + 40 + 30 + 0 + 442 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (240300442141) and next prime (240300442163).

It is a super-2 number, since 2×240300442152² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5958568 + ... + 5998760.

It is an arithmetic number, because the mean of its divisors is an integer number (5290535250).

Almost surely, 2^240300442152 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 240300442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338594256000).

240300442152 is an abundant number, since it is smaller than the sum of its proper divisors (436888069848).

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

240300442152 is a wasteful number, since it uses less digits than its factorization.

240300442152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40608 (or 40598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 240300442152 its reverse (251244003042), we get a palindrome (491544445194).

The spelling of 240300442152 in words is "two hundred forty billion, three hundred million, four hundred forty-two thousand, one hundred fifty-two".