4412155133760 has 896 divisors, whose sum is σ = 16750735884288. Its totient is φ = 971440128000.

The previous prime is 4412155133747. The next prime is 4412155133779. The reversal of 4412155133760 is 673315512144.

It is a happy number.

It is a super-2 number, since 2×4412155133760² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2409696045 + ... + 2409697875.

It is an arithmetic number, because the mean of its divisors is an integer number (18695017728).

Almost surely, 2^{4412155133760} is an apocalyptic number.

4412155133760 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 4412155133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375367942144).

4412155133760 is an abundant number, since it is smaller than the sum of its proper divisors (12338580750528).

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

4412155133760 is a wasteful number, since it uses less digits than its factorization.

4412155133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 4412155133760 in words is "four trillion, four hundred twelve billion, one hundred fifty-five million, one hundred thirty-three thousand, seven hundred sixty".