4146318253440 has 1024 divisors, whose sum is σ = 16450395494400. Its totient is φ = 990749491200.

The previous prime is 4146318253397. The next prime is 4146318253487. The reversal of 4146318253440 is 443528136414.

4146318253440 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 31 + 82 + 534 + 4 + 0 = 666.

4146318253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1093148184 + ... + 1093151976.

It is an arithmetic number, because the mean of its divisors is an integer number (16064839350).

Almost surely, 2^{4146318253440} is an apocalyptic number.

4146318253440 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 4146318253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225197747200).

4146318253440 is an abundant number, since it is smaller than the sum of its proper divisors (12304077240960).

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

4146318253440 is an equidigital number, since it uses as much as digits as its factorization.

4146318253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4146318253440 in words is "four trillion, one hundred forty-six billion, three hundred eighteen million, two hundred fifty-three thousand, four hundred forty".