4134564135600 has 60 divisors (see below), whose sum is σ = 13244387118216. Its totient is φ = 1102550435840.

The previous prime is 4134564135553. The next prime is 4134564135607. The reversal of 4134564135600 is 65314654314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4134564135607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722733857 + ... + 1722736256.

Almost surely, 2^{4134564135600} is an apocalyptic number.

4134564135600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134564135600 is an abundant number, since it is smaller than the sum of its proper divisors (9109822982616).

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

4134564135600 is a wasteful number, since it uses less digits than its factorization.

4134564135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445470134 (or 3445470123 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 4134564135600 its reverse (65314654314), we get a palindrome (4199878789914).

The spelling of 4134564135600 in words is "four trillion, one hundred thirty-four billion, five hundred sixty-four million, one hundred thirty-five thousand, six hundred".