4949368128144 has 400 divisors, whose sum is σ = 16477301575680. Its totient is φ = 1418483301120.

The previous prime is 4949368128139. The next prime is 4949368128197. The reversal of 4949368128144 is 4418218639494.

4949368128144 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 368 + 128 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 164399397 + ... + 164429499.

Almost surely, 2^{4949368128144} is an apocalyptic number.

4949368128144 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 4949368128144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238650787840).

4949368128144 is an abundant number, since it is smaller than the sum of its proper divisors (11527933447536).

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

4949368128144 is a wasteful number, since it uses less digits than its factorization.

4949368128144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30760 (or 30745 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 4949368128144 in words is "four trillion, nine hundred forty-nine billion, three hundred sixty-eight million, one hundred twenty-eight thousand, one hundred forty-four".