4049013769920 has 1680 divisors, whose sum is σ = 17447886038880. Its totient is φ = 887633510400.

The previous prime is 4049013769907. The next prime is 4049013769921. The reversal of 4049013769920 is 299673109404.

4049013769920 is a `hidden beast` number, since 4 + 0 + 490 + 1 + 3 + 7 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (4049013769921) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 7771619260 + ... + 7771619780.

Almost surely, 2^{4049013769920} is an apocalyptic number.

4049013769920 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 4049013769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723943019440).

4049013769920 is an abundant number, since it is smaller than the sum of its proper divisors (13398872268960).

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

4049013769920 is a wasteful number, since it uses less digits than its factorization.

4049013769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4049013769920 in words is "four trillion, forty-nine billion, thirteen million, seven hundred sixty-nine thousand, nine hundred twenty".