4002114695488 has 336 divisors, whose sum is σ = 10810456204800. Its totient is φ = 1451531612160.

The previous prime is 4002114695473. The next prime is 4002114695533. The reversal of 4002114695488 is 8845964112004.

4002114695488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23929018 + ... + 24095686.

It is an arithmetic number, because the mean of its divisors is an integer number (32173976800).

Almost surely, 2^{4002114695488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002114695488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405228102400).

4002114695488 is an abundant number, since it is smaller than the sum of its proper divisors (6808341509312).

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

4002114695488 is a wasteful number, since it uses less digits than its factorization.

4002114695488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166758 (or 166741 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 4002114695488 in words is "four trillion, two billion, one hundred fourteen million, six hundred ninety-five thousand, four hundred eighty-eight".