4145856040000 has 140 divisors (see below), whose sum is σ = 10531120609548. Its totient is φ = 1617894400000.

The previous prime is 4145856039977. The next prime is 4145856040049. The reversal of 4145856040000 is 406585414.

It can be written as a sum of positive squares in 10 ways, for example, as 3915079566336 + 230776473664 = 1978656^2 + 480392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 376020 + ... + 2903980.

Almost surely, 2^{4145856040000} is an apocalyptic number.

4145856040000 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 4145856040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265560304774).

4145856040000 is an abundant number, since it is smaller than the sum of its proper divisors (6385264569548).

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

4145856040000 is an equidigital number, since it uses as much as digits as its factorization.

4145856040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528034 (or 2528009 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 4145856040000 in words is "four trillion, one hundred forty-five billion, eight hundred fifty-six million, forty thousand".