240022443224340 has 288 divisors, whose sum is σ = 871482168627840. Its totient is φ = 54683566414848.

The previous prime is 240022443224303. The next prime is 240022443224353. The reversal of 240022443224340 is 43422344220042.

240022443224340 is a `hidden beast` number, since 2 + 40 + 0 + 2 + 244 + 32 + 2 + 4 + 340 = 666.

240022443224340 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 2×240022443224340² (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 a junction number, because it is equal to n+sod(n) for n = 240022443224295 and 240022443224304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6650629 + ... + 22897068.

It is an arithmetic number, because the mean of its divisors is an integer number (3025979752180).

Almost surely, 2^{240022443224340} is an apocalyptic number.

240022443224340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240022443224340 is an abundant number, since it is smaller than the sum of its proper divisors (631459725403500).

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

240022443224340 is a wasteful number, since it uses less digits than its factorization.

240022443224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29548036 (or 29548021 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 240022443224340 its reverse (43422344220042), we get a palindrome (283444787444382).

The spelling of 240022443224340 in words is "two hundred forty trillion, twenty-two billion, four hundred forty-three million, two hundred twenty-four thousand, three hundred forty".