4135423054400 has 336 divisors, whose sum is σ = 11207214120960. Its totient is φ = 1489444454400.

The previous prime is 4135423054393. The next prime is 4135423054423. The reversal of 4135423054400 is 44503245314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807855041 + ... + 807860159.

Almost surely, 2^{4135423054400} is an apocalyptic number.

4135423054400 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 4135423054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603607060480).

4135423054400 is an abundant number, since it is smaller than the sum of its proper divisors (7071791066560).

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

4135423054400 is a wasteful number, since it uses less digits than its factorization.

4135423054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 4135423054400 its reverse (44503245314), we get a palindrome (4179926299714).

The spelling of 4135423054400 in words is "four trillion, one hundred thirty-five billion, four hundred twenty-three million, fifty-four thousand, four hundred".