4509852695040 has 640 divisors, whose sum is σ = 18921083258880. Its totient is φ = 887788339200.

The previous prime is 4509852694969. The next prime is 4509852695083. The reversal of 4509852695040 is 405962589054.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11035150 + ... + 11436530.

It is an arithmetic number, because the mean of its divisors is an integer number (29564192592).

Almost surely, 2^{4509852695040} is an apocalyptic number.

4509852695040 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 4509852695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460541629440).

4509852695040 is an abundant number, since it is smaller than the sum of its proper divisors (14411230563840).

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

4509852695040 is a wasteful number, since it uses less digits than its factorization.

4509852695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401444 (or 401428 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 4509852695040 in words is "four trillion, five hundred nine billion, eight hundred fifty-two million, six hundred ninety-five thousand, forty".