4000694922880 has 128 divisors (see below), whose sum is σ = 9602270012160. Its totient is φ = 1593906585600.

The previous prime is 4000694922877. The next prime is 4000694922929. The reversal of 4000694922880 is 882294960004.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821326845 + ... + 821331715.

It is an arithmetic number, because the mean of its divisors is an integer number (75017734470).

Almost surely, 2^{4000694922880} is an apocalyptic number.

4000694922880 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 4000694922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801135006080).

4000694922880 is an abundant number, since it is smaller than the sum of its proper divisors (5601575089280).

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

4000694922880 is a wasteful number, since it uses less digits than its factorization.

4000694922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 4000694922880 in words is "four trillion, six hundred ninety-four million, nine hundred twenty-two thousand, eight hundred eighty".