54434125600440 has 128 divisors (see below), whose sum is σ = 163876074082560. Its totient is φ = 14464860954624.

The previous prime is 54434125600417. The next prime is 54434125600447. The reversal of 54434125600440 is 4400652143445.

54434125600440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×54434125600440³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54434125600392 and 54434125600401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54434125600447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38283927 + ... + 39680313.

It is an arithmetic number, because the mean of its divisors is an integer number (1280281828770).

Almost surely, 2^{54434125600440} is an apocalyptic number.

It is an amenable number.

54434125600440 is an abundant number, since it is smaller than the sum of its proper divisors (109441948482120).

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

54434125600440 is a wasteful number, since it uses less digits than its factorization.

54434125600440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397541 (or 1397537 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 54434125600440 its reverse (4400652143445), we get a palindrome (58834777743885).

The spelling of 54434125600440 in words is "fifty-four trillion, four hundred thirty-four billion, one hundred twenty-five million, six hundred thousand, four hundred forty".