4088006688400 has 120 divisors (see below), whose sum is σ = 9976294913760. Its totient is φ = 1609460244480.

The previous prime is 4088006688391. The next prime is 4088006688419. The reversal of 4088006688400 is 48866008804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32552931 + ... + 32678269.

It is an arithmetic number, because the mean of its divisors is an integer number (83135790948).

Almost surely, 2^{4088006688400} is an apocalyptic number.

4088006688400 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 4088006688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988147456880).

4088006688400 is an abundant number, since it is smaller than the sum of its proper divisors (5888288225360).

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

4088006688400 is a wasteful number, since it uses less digits than its factorization.

4088006688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126641 (or 126630 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 4088006688400 in words is "four trillion, eighty-eight billion, six million, six hundred eighty-eight thousand, four hundred".