240011004000 has 96 divisors (see below), whose sum is σ = 786276088416. Its totient is φ = 64002931200.

The previous prime is 240011003983. The next prime is 240011004017. The reversal of 240011004000 is 400110042.

It is an interprime number because it is at equal distance from previous prime (240011003983) and next prime (240011004017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 9988459 + ... + 10012458.

It is an arithmetic number, because the mean of its divisors is an integer number (8190375921).

Almost surely, 2^240011004000 is an apocalyptic number.

240011004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240011004000 is an abundant number, since it is smaller than the sum of its proper divisors (546265084416).

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

240011004000 is a wasteful number, since it uses less digits than its factorization.

240011004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000945 (or 20000927 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 240011004000 its reverse (400110042), we get a palindrome (240411114042).

The spelling of 240011004000 in words is "two hundred forty billion, eleven million, four thousand".