4208792078400 has 672 divisors, whose sum is σ = 17543165165568. Its totient is φ = 859360665600.

The previous prime is 4208792078399. The next prime is 4208792078401. The reversal of 4208792078400 is 48702978024.

4208792078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4208792078399) and next prime (4208792078401).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (4208792078401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13385389 + ... + 13696211.

It is an arithmetic number, because the mean of its divisors is an integer number (26105900544).

Almost surely, 2^{4208792078400} is an apocalyptic number.

4208792078400 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 4208792078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771582582784).

4208792078400 is an abundant number, since it is smaller than the sum of its proper divisors (13334373087168).

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

4208792078400 is a wasteful number, since it uses less digits than its factorization.

4208792078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310899 (or 310884 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 4208792078400 in words is "four trillion, two hundred eight billion, seven hundred ninety-two million, seventy-eight thousand, four hundred".