403144235434125 has 96 divisors (see below), whose sum is σ = 731656421589600. Its totient is φ = 213554295936000.

The previous prime is 403144235434093. The next prime is 403144235434181. The reversal of 403144235434125 is 521434532441304.

It is a happy number.

403144235434125 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 4 + 42 + 3 + 543 + 41 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 251993463987204 + 151150771446921 = 15874302^2 + 12294339^2 .

It is not a de Polignac number, because 403144235434125 - 2⁵ = 403144235434093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3180285745 + ... + 3180412505.

It is an arithmetic number, because the mean of its divisors is an integer number (7621421058225).

Almost surely, 2^{403144235434125} is an apocalyptic number.

403144235434125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

403144235434125 is a deficient number, since it is larger than the sum of its proper divisors (328512186155475).

403144235434125 is a wasteful number, since it uses less digits than its factorization.

403144235434125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145904 (or 145891 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 403144235434125 its reverse (521434532441304), we get a palindrome (924578767875429).

The spelling of 403144235434125 in words is "four hundred three trillion, one hundred forty-four billion, two hundred thirty-five million, four hundred thirty-four thousand, one hundred twenty-five".