42006334213152 has 72 divisors (see below), whose sum is σ = 119456608287744. Its totient is φ = 14001983009664.

The previous prime is 42006334213111. The next prime is 42006334213153. The reversal of 42006334213152 is 25131243360024.

42006334213152 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 6 + 334 + 2 + 1 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42006334213152² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42006334213153) 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, 33888673 + ... + 35106335.

It is an arithmetic number, because the mean of its divisors is an integer number (1659119559552).

Almost surely, 2^{42006334213152} is an apocalyptic number.

It is an amenable number.

42006334213152 is an abundant number, since it is smaller than the sum of its proper divisors (77450274074592).

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

42006334213152 is a wasteful number, since it uses less digits than its factorization.

42006334213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337462 (or 1337451 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 42006334213152 its reverse (25131243360024), we get a palindrome (67137577573176).

The spelling of 42006334213152 in words is "forty-two trillion, six billion, three hundred thirty-four million, two hundred thirteen thousand, one hundred fifty-two".