4006795742208 has 1408 divisors, whose sum is σ = 14714818560000. Its totient is φ = 1051783004160.

The previous prime is 4006795742197. The next prime is 4006795742221. The reversal of 4006795742208 is 8022475976004.

4006795742208 is a `hidden beast` number, since 4 + 0 + 0 + 67 + 9 + 574 + 2 + 2 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26891246518 + ... + 26891246666.

Almost surely, 2^{4006795742208} is an apocalyptic number.

4006795742208 is a gapful number since it is divisible by the number (48) 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 4006795742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280000).

4006795742208 is an abundant number, since it is smaller than the sum of its proper divisors (10708022817792).

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

4006795742208 is a wasteful number, since it uses less digits than its factorization.

4006795742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4006795742208 in words is "four trillion, six billion, seven hundred ninety-five million, seven hundred forty-two thousand, two hundred eight".