240321142000 has 160 divisors (see below), whose sum is σ = 598495622400. Its totient is φ = 93264998400.

The previous prime is 240321141997. The next prime is 240321142003. The reversal of 240321142000 is 241123042.

It is an interprime number because it is at equal distance from previous prime (240321141997) and next prime (240321142003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240321142003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27153576 + ... + 27162424.

It is an arithmetic number, because the mean of its divisors is an integer number (3740597640).

Almost surely, 2^240321142000 is an apocalyptic number.

240321142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240321142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299247811200).

240321142000 is an abundant number, since it is smaller than the sum of its proper divisors (358174480400).

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

240321142000 is a wasteful number, since it uses less digits than its factorization.

240321142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 240321142000 its reverse (241123042), we get a palindrome (240562265042).

The spelling of 240321142000 in words is "two hundred forty billion, three hundred twenty-one million, one hundred forty-two thousand".