3839142666240 has 1120 divisors, whose sum is σ = 16031287134720. Its totient is φ = 860685336576.

The previous prime is 3839142666239. The next prime is 3839142666253. The reversal of 3839142666240 is 426662419383.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1230887401 + ... + 1230890519.

Almost surely, 2^{3839142666240} is an apocalyptic number.

3839142666240 is a gapful number since it is divisible by the number (30) 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 3839142666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015643567360).

3839142666240 is an abundant number, since it is smaller than the sum of its proper divisors (12192144468480).

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

3839142666240 is an equidigital number, since it uses as much as digits as its factorization.

3839142666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3839142666240 in words is "three trillion, eight hundred thirty-nine billion, one hundred forty-two million, six hundred sixty-six thousand, two hundred forty".