4078832716800 has 1056 divisors, whose sum is σ = 15455566613760. Its totient is φ = 1053455155200.

The previous prime is 4078832716753. The next prime is 4078832716823. The reversal of 4078832716800 is 86172388704.

It is a happy number.

4078832716800 is a `hidden beast` number, since 407 + 88 + 32 + 71 + 68 + 0 + 0 = 666.

It is a super-3 number, since 3×4078832716800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4619289159 + ... + 4619290041.

Almost surely, 2^{4078832716800} is an apocalyptic number.

4078832716800 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 4078832716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727783306880).

4078832716800 is an abundant number, since it is smaller than the sum of its proper divisors (11376733896960).

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

4078832716800 is a wasteful number, since it uses less digits than its factorization.

4078832716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 4078832716800 in words is "four trillion, seventy-eight billion, eight hundred thirty-two million, seven hundred sixteen thousand, eight hundred".