4003145856000 has 1056 divisors, whose sum is σ = 15494703943680. Its totient is φ = 990216192000.

The previous prime is 4003145855993. The next prime is 4003145856001. The reversal of 4003145856000 is 6585413004.

It is a happy number.

4003145856000 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 1 + 45 + 8 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003145856001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1390462561 + ... + 1390465439.

Almost surely, 2^{4003145856000} is an apocalyptic number.

4003145856000 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 4003145856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747351971840).

4003145856000 is an abundant number, since it is smaller than the sum of its proper divisors (11491558087680).

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

4003145856000 is a wasteful number, since it uses less digits than its factorization.

4003145856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4003145856000 in words is "four trillion, three billion, one hundred forty-five million, eight hundred fifty-six thousand".