4145940675360 has 288 divisors, whose sum is σ = 15456265231680. Its totient is φ = 1003640064000.

The previous prime is 4145940675353. The next prime is 4145940675377. The reversal of 4145940675360 is 635760495414.

It is a happy number.

4145940675360 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 9 + 40 + 67 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4145940675360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4145940675297 and 4145940675306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10917151 + ... + 11290529.

It is an arithmetic number, because the mean of its divisors is an integer number (53667587610).

Almost surely, 2^{4145940675360} is an apocalyptic number.

4145940675360 is a gapful number since it is divisible by the number (40) 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 4145940675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728132615840).

4145940675360 is an abundant number, since it is smaller than the sum of its proper divisors (11310324556320).

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

4145940675360 is a wasteful number, since it uses less digits than its factorization.

4145940675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374112 (or 374101 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 4145940675360 in words is "four trillion, one hundred forty-five billion, nine hundred forty million, six hundred seventy-five thousand, three hundred sixty".