4136568089040 has 400 divisors, whose sum is σ = 15069343500288. Its totient is φ = 1049650348032.

The previous prime is 4136568089023. The next prime is 4136568089081. The reversal of 4136568089040 is 409808656314.

4136568089040 is a `hidden beast` number, since 4 + 1 + 36 + 568 + 0 + 8 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×4136568089040² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28692817 + ... + 28836623.

Almost surely, 2^{4136568089040} is an apocalyptic number.

4136568089040 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 4136568089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534671750144).

4136568089040 is an abundant number, since it is smaller than the sum of its proper divisors (10932775411248).

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

4136568089040 is a wasteful number, since it uses less digits than its factorization.

4136568089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144048 (or 144033 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4136568089040 in words is "four trillion, one hundred thirty-six billion, five hundred sixty-eight million, eighty-nine thousand, forty".