240166373705412 has 768 divisors, whose sum is σ = 724732060631040. Its totient is φ = 60105900441600.

The previous prime is 240166373705393. The next prime is 240166373705431. The reversal of 240166373705412 is 214507373661042.

It is an interprime number because it is at equal distance from previous prime (240166373705393) and next prime (240166373705431).

It is a super-2 number, since 2×240166373705412² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 547076021889 + ... + 547076022327.

It is an arithmetic number, because the mean of its divisors is an integer number (943661537280).

Almost surely, 2^{240166373705412} is an apocalyptic number.

240166373705412 is a gapful number since it is divisible by the number (22) 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 240166373705412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362366030315520).

240166373705412 is an abundant number, since it is smaller than the sum of its proper divisors (484565686925628).

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

240166373705412 is a wasteful number, since it uses less digits than its factorization.

240166373705412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 240166373705412 in words is "two hundred forty trillion, one hundred sixty-six billion, three hundred seventy-three million, seven hundred five thousand, four hundred twelve".