42512135040 has 128 divisors (see below), whose sum is σ = 150563872800. Its totient is φ = 11336564736.

The previous prime is 42512135033. The next prime is 42512135087. The reversal of 42512135040 is 4053121524.

42512135040 is a `hidden beast` number, since 4 + 251 + 21 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 42512134995 and 42512135013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212817 + ... + 1247376.

Almost surely, 2^42512135040 is an apocalyptic number.

42512135040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42512135040 is an abundant number, since it is smaller than the sum of its proper divisors (108051737760).

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

42512135040 is a wasteful number, since it uses less digits than its factorization.

42512135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460221 (or 2460203 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42512135040 its reverse (4053121524), we get a palindrome (46565256564).

The spelling of 42512135040 in words is "forty-two billion, five hundred twelve million, one hundred thirty-five thousand, forty".