240233450122240 has 176 divisors, whose sum is σ = 587257885512000. Its totient is φ = 94263285841920.

The previous prime is 240233450122199. The next prime is 240233450122241. The reversal of 240233450122240 is 42221054332042.

240233450122240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240233450122240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240233450122196 and 240233450122205.

It is not an unprimeable number, because it can be changed into a prime (240233450122241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559971645 + ... + 1560125635.

Almost surely, 2^{240233450122240} is an apocalyptic number.

240233450122240 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 240233450122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293628942756000).

240233450122240 is an abundant number, since it is smaller than the sum of its proper divisors (347024435389760).

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

240233450122240 is a wasteful number, since it uses less digits than its factorization.

240233450122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159818 (or 159800 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 240233450122240 in words is "two hundred forty trillion, two hundred thirty-three billion, four hundred fifty million, one hundred twenty-two thousand, two hundred forty".