4100746383360 has 1248 divisors, whose sum is σ = 16210999179648. Its totient is φ = 986091356160.

The previous prime is 4100746383359. The next prime is 4100746383373. The reversal of 4100746383360 is 633836470014.

4100746383360 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 7 + 4 + 638 + 3 + 3 + 6 + 0 = 666.

It is a super-3 number, since 3×4100746383360³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9470545704 + ... + 9470546136.

It is an arithmetic number, because the mean of its divisors is an integer number (12989582676).

Almost surely, 2^{4100746383360} is an apocalyptic number.

4100746383360 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 4100746383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105499589824).

4100746383360 is an abundant number, since it is smaller than the sum of its proper divisors (12110252796288).

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

4100746383360 is a wasteful number, since it uses less digits than its factorization.

4100746383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4100746383360 in words is "four trillion, one hundred billion, seven hundred forty-six million, three hundred eighty-three thousand, three hundred sixty".