4138280365000 has 160 divisors (see below), whose sum is σ = 10023889328640. Its totient is φ = 1599494400000.

The previous prime is 4138280364983. The next prime is 4138280365033. The reversal of 4138280365000 is 5630828314.

4138280365000 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104295165 + ... + 104334835.

It is an arithmetic number, because the mean of its divisors is an integer number (62649308304).

Almost surely, 2^{4138280365000} is an apocalyptic number.

4138280365000 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 4138280365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011944664320).

4138280365000 is an abundant number, since it is smaller than the sum of its proper divisors (5885608963640).

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

4138280365000 is a wasteful number, since it uses less digits than its factorization.

4138280365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40401 (or 40382 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 4138280365000 in words is "four trillion, one hundred thirty-eight billion, two hundred eighty million, three hundred sixty-five thousand".