42135116364 has 36 divisors (see below), whose sum is σ = 116190776520. Its totient is φ = 12768216960.

The previous prime is 42135116351. The next prime is 42135116377. The reversal of 42135116364 is 46361153124.

42135116364 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 5 + 11 + 636 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42135116351) and next prime (42135116377).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 53200509 + ... + 53201300.

It is an arithmetic number, because the mean of its divisors is an integer number (3227521570).

Almost surely, 2^42135116364 is an apocalyptic number.

42135116364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42135116364 is an abundant number, since it is smaller than the sum of its proper divisors (74055660156).

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

42135116364 is a wasteful number, since it uses less digits than its factorization.

42135116364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106401830 (or 106401825 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 42135116364 its reverse (46361153124), we get a palindrome (88496269488).

The spelling of 42135116364 in words is "forty-two billion, one hundred thirty-five million, one hundred sixteen thousand, three hundred sixty-four".