4049630088336 has 640 divisors, whose sum is σ = 14540189368320. Its totient is φ = 1052360294400.

The previous prime is 4049630088307. The next prime is 4049630088347. The reversal of 4049630088336 is 6338800369404.

4049630088336 is a `hidden beast` number, since 40 + 496 + 3 + 0 + 0 + 8 + 83 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1547430900 + ... + 1547433516.

It is an arithmetic number, because the mean of its divisors is an integer number (22719045888).

Almost surely, 2^{4049630088336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4049630088336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270094684160).

4049630088336 is an abundant number, since it is smaller than the sum of its proper divisors (10490559279984).

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

4049630088336 is a wasteful number, since it uses less digits than its factorization.

4049630088336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3648 counting only the distinct ones).

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

The spelling of 4049630088336 in words is "four trillion, forty-nine billion, six hundred thirty million, eighty-eight thousand, three hundred thirty-six".