4049399608320 has 704 divisors, whose sum is σ = 14999606894592. Its totient is φ = 921501696000.

The previous prime is 4049399608313. The next prime is 4049399608321. The reversal of 4049399608320 is 238069939404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049399608321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237968285 + ... + 1237971555.

Almost surely, 2^{4049399608320} is an apocalyptic number.

4049399608320 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 4049399608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499803447296).

4049399608320 is an abundant number, since it is smaller than the sum of its proper divisors (10950207286272).

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

4049399608320 is a wasteful number, since it uses less digits than its factorization.

4049399608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 4049399608320 in words is "four trillion, forty-nine billion, three hundred ninety-nine million, six hundred eight thousand, three hundred twenty".