4054434414400 has 42 divisors (see below), whose sum is σ = 9976442684870. Its totient is φ = 1621773765120.

The previous prime is 4054434414341. The next prime is 4054434414403. The reversal of 4054434414400 is 44144344504.

It can be written as a sum of positive squares in 3 ways, for example, as 200374407424 + 3854060006976 = 447632^2 + 1963176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4054434414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054434414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1267009155 + ... + 1267012354.

Almost surely, 2^{4054434414400} is an apocalyptic number.

4054434414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054434414400 is an abundant number, since it is smaller than the sum of its proper divisors (5922008270470).

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

4054434414400 is a wasteful number, since it uses less digits than its factorization.

4054434414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534021531 (or 2534021516 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 4054434414400 its reverse (44144344504), we get a palindrome (4098578758904).

The spelling of 4054434414400 in words is "four trillion, fifty-four billion, four hundred thirty-four million, four hundred fourteen thousand, four hundred".