4000505200000 has 192 divisors, whose sum is σ = 9983535387840. Its totient is φ = 1596672000000.

The previous prime is 4000505199989. The next prime is 4000505200019. The reversal of 4000505200000 is 25050004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185189200 + ... + 185210800.

It is an arithmetic number, because the mean of its divisors is an integer number (51997580145).

Almost surely, 2^{4000505200000} is an apocalyptic number.

4000505200000 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 4000505200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991767693920).

4000505200000 is an abundant number, since it is smaller than the sum of its proper divisors (5983030187840).

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

4000505200000 is an frugal number, since it uses more digits than its factorization.

4000505200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22103 (or 22071 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The spelling of 4000505200000 in words is "four trillion, five hundred five million, two hundred thousand".