240213114035040 has 192 divisors, whose sum is σ = 764039556274176. Its totient is φ = 63433099180032.

The previous prime is 240213114035033. The next prime is 240213114035117. The reversal of 240213114035040 is 40530411312042.

It is a super-2 number, since 2×240213114035040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240213114034989 and 240213114035007.

It is a congruent number.

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, 3402079417 + ... + 3402150023.

It is an arithmetic number, because the mean of its divisors is an integer number (3979372688928).

Almost surely, 2^{240213114035040} is an apocalyptic number.

240213114035040 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 240213114035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382019778137088).

240213114035040 is an abundant number, since it is smaller than the sum of its proper divisors (523826442239136).

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

240213114035040 is a wasteful number, since it uses less digits than its factorization.

240213114035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139541 (or 139533 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 240213114035040 its reverse (40530411312042), we get a palindrome (280743525347082).

The spelling of 240213114035040 in words is "two hundred forty trillion, two hundred thirteen billion, one hundred fourteen million, thirty-five thousand, forty".