4000695300000 has 1440 divisors, whose sum is σ = 17270706854016. Its totient is φ = 889263360000.

The previous prime is 4000695299989. The next prime is 4000695300053. The reversal of 4000695300000 is 35960004.

It is a happy number.

4000695300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2097899047 + ... + 2097900953.

Almost surely, 2^{4000695300000} is an apocalyptic number.

4000695300000 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 4000695300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635353427008).

4000695300000 is an abundant number, since it is smaller than the sum of its proper divisors (13270011554016).

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

4000695300000 is an equidigital number, since it uses as much as digits as its factorization.

4000695300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 4000695300000 in words is "four trillion, six hundred ninety-five million, three hundred thousand".