10254123014004 has 60 divisors (see below), whose sum is σ = 27173512758084. Its totient is φ = 3371218517376.

The previous prime is 10254123013921. The next prime is 10254123014111. The reversal of 10254123014004 is 40041032145201.

10254123014004 is a `hidden beast` number, since 1 + 0 + 25 + 4 + 1 + 230 + 1 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7355269443600 + 2898853570404 = 2712060^2 + 1702602^2 .

It is a super-2 number, since 2×10254123014004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 216747087 + ... + 216794390.

Almost surely, 2^{10254123014004} is an apocalyptic number.

It is an amenable number.

10254123014004 is an abundant number, since it is smaller than the sum of its proper divisors (16919389744080).

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

10254123014004 is a wasteful number, since it uses less digits than its factorization.

10254123014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433541566 (or 433541555 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10254123014004 its reverse (40041032145201), we get a palindrome (50295155159205).

The spelling of 10254123014004 in words is "ten trillion, two hundred fifty-four billion, one hundred twenty-three million, fourteen thousand, four".