240011357040 has 1920 divisors, whose sum is σ = 1135367331840. Its totient is φ = 45984153600.

The previous prime is 240011357029. The next prime is 240011357083. The reversal of 240011357040 is 40753110042.

240011357040 is a `hidden beast` number, since 2 + 40 + 0 + 1 + 13 + 570 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 240011356995 and 240011357013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 725109675 + ... + 725110005.

It is an arithmetic number, because the mean of its divisors is an integer number (591337152).

Almost surely, 2^240011357040 is an apocalyptic number.

240011357040 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 240011357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567683665920).

240011357040 is an abundant number, since it is smaller than the sum of its proper divisors (895355974800).

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

240011357040 is a wasteful number, since it uses less digits than its factorization.

240011357040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 240011357040 its reverse (40753110042), we get a palindrome (280764467082).

The spelling of 240011357040 in words is "two hundred forty billion, eleven million, three hundred fifty-seven thousand, forty".