4507561041408 has 180 divisors, whose sum is σ = 13259250884880. Its totient is φ = 1474166673408.

The previous prime is 4507561041407. The next prime is 4507561041421. The reversal of 4507561041408 is 8041401657054.

4507561041408 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 561 + 0 + 41 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507561041407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12769753 + ... + 13117991.

It is an arithmetic number, because the mean of its divisors is an integer number (73662504916).

Almost surely, 2^{4507561041408} is an apocalyptic number.

4507561041408 is a gapful number since it is divisible by the number (48) 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 4507561041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629625442440).

4507561041408 is an abundant number, since it is smaller than the sum of its proper divisors (8751689843472).

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

4507561041408 is an equidigital number, since it uses as much as digits as its factorization.

4507561041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348369 (or 348297 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4507561041408 in words is "four trillion, five hundred seven billion, five hundred sixty-one million, forty-one thousand, four hundred eight".