240013801188000 has 1152 divisors, whose sum is σ = 1044364359467520. Its totient is φ = 52968519475200.

The previous prime is 240013801187959. The next prime is 240013801188151. The reversal of 240013801188000 is 881108310042.

240013801188000 is a `hidden beast` number, since 2 + 400 + 138 + 0 + 118 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×240013801188000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196707804 + ... + 197924196.

It is an arithmetic number, because the mean of its divisors is an integer number (906566284260).

Almost surely, 2^{240013801188000} is an apocalyptic number.

240013801188000 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 240013801188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522182179733760).

240013801188000 is an abundant number, since it is smaller than the sum of its proper divisors (804350558279520).

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

240013801188000 is a wasteful number, since it uses less digits than its factorization.

240013801188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216469 (or 1216439 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 240013801188000 its reverse (881108310042), we get a palindrome (240894909498042).

The spelling of 240013801188000 in words is "two hundred forty trillion, thirteen billion, eight hundred one million, one hundred eighty-eight thousand".