4006974346128 has 400 divisors, whose sum is σ = 12786286427376. Its totient is φ = 1203948748800.

The previous prime is 4006974346121. The next prime is 4006974346159. The reversal of 4006974346128 is 8216434796004.

4006974346128 is a `hidden beast` number, since 40 + 0 + 6 + 97 + 434 + 61 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 139428864 + 4006834917264 = 11808^2 + 2001708^2 .

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 (4006974346121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124204176 + ... + 124236432.

Almost surely, 2^{4006974346128} is an apocalyptic number.

4006974346128 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 4006974346128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393143213688).

4006974346128 is an abundant number, since it is smaller than the sum of its proper divisors (8779312081248).

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

4006974346128 is a wasteful number, since it uses less digits than its factorization.

4006974346128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32464 (or 32449 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4006974346128 in words is "four trillion, six billion, nine hundred seventy-four million, three hundred forty-six thousand, one hundred twenty-eight".