4138970841600 has 960 divisors, whose sum is σ = 16116406555392. Its totient is φ = 916586496000.

The previous prime is 4138970841587. The next prime is 4138970841631. The reversal of 4138970841600 is 61480798314.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2794712860 + ... + 2794714340.

Almost surely, 2^{4138970841600} is an apocalyptic number.

4138970841600 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 4138970841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058203277696).

4138970841600 is an abundant number, since it is smaller than the sum of its proper divisors (11977435713792).

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

4138970841600 is a wasteful number, since it uses less digits than its factorization.

4138970841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 4138970841600 in words is "four trillion, one hundred thirty-eight billion, nine hundred seventy million, eight hundred forty-one thousand, six hundred".