240153245640 has 192 divisors, whose sum is σ = 973088588160. Its totient is φ = 49901967360.

The previous prime is 240153245639. The next prime is 240153245641. The reversal of 240153245640 is 46542351042.

240153245640 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 5 + 3 + 2 + 4 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (240153245639) and next prime (240153245641).

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 = 240153245595 and 240153245604.

It is not an unprimeable number, because it can be changed into a prime (240153245641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4304049 + ... + 4359488.

It is an arithmetic number, because the mean of its divisors is an integer number (5068169730).

Almost surely, 2^240153245640 is an apocalyptic number.

240153245640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240153245640 is an abundant number, since it is smaller than the sum of its proper divisors (732935342520).

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

240153245640 is a wasteful number, since it uses less digits than its factorization.

240153245640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663572 (or 8663565 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 240153245640 its reverse (46542351042), we get a palindrome (286695596682).

The spelling of 240153245640 in words is "two hundred forty billion, one hundred fifty-three million, two hundred forty-five thousand, six hundred forty".