4039052964144 has 320 divisors, whose sum is σ = 12375802183680. Its totient is φ = 1121423708160.

The previous prime is 4039052964139. The next prime is 4039052964179. The reversal of 4039052964144 is 4414692509304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54510129 + ... + 54584175.

It is an arithmetic number, because the mean of its divisors is an integer number (38674381824).

Almost surely, 2^{4039052964144} is an apocalyptic number.

4039052964144 is a gapful number since it is divisible by the number (44) 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 4039052964144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187901091840).

4039052964144 is an abundant number, since it is smaller than the sum of its proper divisors (8336749219536).

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

4039052964144 is a wasteful number, since it uses less digits than its factorization.

4039052964144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74248 (or 74242 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 4039052964144 in words is "four trillion, thirty-nine billion, fifty-two million, nine hundred sixty-four thousand, one hundred forty-four".