4049495890560 has 1024 divisors, whose sum is σ = 15431565312000. Its totient is φ = 1000980135936.

The previous prime is 4049495890529. The next prime is 4049495890639. The reversal of 4049495890560 is 650985949404.

4049495890560 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 49 + 589 + 0 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×4049495890560² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5632121881 + ... + 5632122599.

It is an arithmetic number, because the mean of its divisors is an integer number (15069888000).

Almost surely, 2^{4049495890560} is an apocalyptic number.

4049495890560 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 4049495890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715782656000).

4049495890560 is an abundant number, since it is smaller than the sum of its proper divisors (11382069421440).

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

4049495890560 is a wasteful number, since it uses less digits than its factorization.

4049495890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4049495890560 in words is "four trillion, forty-nine billion, four hundred ninety-five million, eight hundred ninety thousand, five hundred sixty".