4006801005948 has 54 divisors (see below), whose sum is σ = 10967333539344. Its totient is φ = 1232861846112.

The previous prime is 4006801005919. The next prime is 4006801005959. The reversal of 4006801005948 is 8495001086004.

4006801005948 is a `hidden beast` number, since 40 + 0 + 6 + 8 + 0 + 10 + 0 + 594 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 329283940 + ... + 329296107.

Almost surely, 2^{4006801005948} is an apocalyptic number.

It is an amenable number.

4006801005948 is an abundant number, since it is smaller than the sum of its proper divisors (6960532533396).

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

4006801005948 is a wasteful number, since it uses less digits than its factorization.

4006801005948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658580083 (or 658580065 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4006801005948 in words is "four trillion, six billion, eight hundred one million, five thousand, nine hundred forty-eight".