42102140026464 has 144 divisors (see below), whose sum is σ = 144033637063680. Its totient is φ = 11396067966720.

The previous prime is 42102140026433. The next prime is 42102140026469. The reversal of 42102140026464 is 46462004120124.

42102140026464 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 2 + 1 + 4 + 0 + 0 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102140026469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549540592 + ... + 549617199.

It is an arithmetic number, because the mean of its divisors is an integer number (1000233590720).

Almost surely, 2^{42102140026464} is an apocalyptic number.

It is an amenable number.

42102140026464 is an abundant number, since it is smaller than the sum of its proper divisors (101931497037216).

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

42102140026464 is a wasteful number, since it uses less digits than its factorization.

42102140026464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099157833 (or 1099157822 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 42102140026464 its reverse (46462004120124), we get a palindrome (88564144146588).

The spelling of 42102140026464 in words is "forty-two trillion, one hundred two billion, one hundred forty million, twenty-six thousand, four hundred sixty-four".