4049874259200 has 3888 divisors, whose sum is σ = 20351188690560. Its totient is φ = 747424972800.

The previous prime is 4049874259199. The next prime is 4049874259273. The reversal of 4049874259200 is 29524789404.

It is a happy number.

4049874259200 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 8 + 7 + 42 + 592 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15758265472 + ... + 15758265728.

Almost surely, 2^{4049874259200} is an apocalyptic number.

4049874259200 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 4049874259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175594345280).

4049874259200 is an abundant number, since it is smaller than the sum of its proper divisors (16301314431360).

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

4049874259200 is a wasteful number, since it uses less digits than its factorization.

4049874259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4049874259200 in words is "four trillion, forty-nine billion, eight hundred seventy-four million, two hundred fifty-nine thousand, two hundred".