4183413467040 has 2304 divisors, whose sum is σ = 17296172974080. Its totient is φ = 948109639680.

The previous prime is 4183413467011. The next prime is 4183413467041. The reversal of 4183413467040 is 407643143814.

4183413467040 is a `hidden beast` number, since 4 + 183 + 4 + 1 + 3 + 467 + 0 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4183413467041) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 32940263457 + ... + 32940263583.

It is an arithmetic number, because the mean of its divisors is an integer number (7507019520).

Almost surely, 2^{4183413467040} is an apocalyptic number.

4183413467040 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 4183413467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648086487040).

4183413467040 is an abundant number, since it is smaller than the sum of its proper divisors (13112759507040).

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

4183413467040 is a wasteful number, since it uses less digits than its factorization.

4183413467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4183413467040 in words is "four trillion, one hundred eighty-three billion, four hundred thirteen million, four hundred sixty-seven thousand, forty".