4506091693040 has 360 divisors, whose sum is σ = 12527677306800. Its totient is φ = 1502919720960.

The previous prime is 4506091693021. The next prime is 4506091693093. The reversal of 4506091693040 is 403961906054.

It is a happy number.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2958693719 + ... + 2958695241.

It is an arithmetic number, because the mean of its divisors is an integer number (34799103630).

Almost surely, 2^{4506091693040} is an apocalyptic number.

4506091693040 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 4506091693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263838653400).

4506091693040 is an abundant number, since it is smaller than the sum of its proper divisors (8021585613760).

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

4506091693040 is a wasteful number, since it uses less digits than its factorization.

4506091693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 4506091693040 in words is "four trillion, five hundred six billion, ninety-one million, six hundred ninety-three thousand, forty".