4136430054100 has 36 divisors (see below), whose sum is σ = 9055487341404. Its totient is φ = 1639929786880.

The previous prime is 4136430054047. The next prime is 4136430054121. The reversal of 4136430054100 is 14500346314.

It is a happy number.

4136430054100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2147754732484 + 1988675321616 = 1465522^2 + 1410204^2 .

It is a super-2 number, since 2×4136430054100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183016579 + ... + 183039178.

It is an arithmetic number, because the mean of its divisors is an integer number (251541315039).

Almost surely, 2^{4136430054100} is an apocalyptic number.

It is an amenable number.

4136430054100 is an abundant number, since it is smaller than the sum of its proper divisors (4919057287304).

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

4136430054100 is a wasteful number, since it uses less digits than its factorization.

4136430054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366055884 (or 366055877 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 4136430054100 in words is "four trillion, one hundred thirty-six billion, four hundred thirty million, fifty-four thousand, one hundred".