4001278436400 has 480 divisors, whose sum is σ = 15013064896000. Its totient is φ = 910562688000.

The previous prime is 4001278436377. The next prime is 4001278436417. The reversal of 4001278436400 is 46348721004.

4001278436400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 94235175 + ... + 94277625.

Almost surely, 2^{4001278436400} is an apocalyptic number.

4001278436400 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 4001278436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506532448000).

4001278436400 is an abundant number, since it is smaller than the sum of its proper divisors (11011786459600).

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

4001278436400 is a wasteful number, since it uses less digits than its factorization.

4001278436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42722 (or 42697 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 4001278436400 in words is "four trillion, one billion, two hundred seventy-eight million, four hundred thirty-six thousand, four hundred".