4078908288000 has 3168 divisors, whose sum is σ = 18888952747392. Its totient is φ = 828112896000.

The previous prime is 4078908287977. The next prime is 4078908288023. The reversal of 4078908288000 is 8828098704.

4078908288000 is a `hidden beast` number, since 407 + 89 + 0 + 82 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4078908287977) and next prime (4078908288023).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55875455964 + ... + 55875456036.

Almost surely, 2^{4078908288000} is an apocalyptic number.

4078908288000 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 4078908288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444476373696).

4078908288000 is an abundant number, since it is smaller than the sum of its proper divisors (14810044459392).

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

4078908288000 is a wasteful number, since it uses less digits than its factorization.

4078908288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 4078908288000 in words is "four trillion, seventy-eight billion, nine hundred eight million, two hundred eighty-eight thousand".