42149414900 has 36 divisors (see below), whose sum is σ = 94618175820. Its totient is φ = 16278393600.

The previous prime is 42149414897. The next prime is 42149414903. The reversal of 42149414900 is 941494124.

It is an interprime number because it is at equal distance from previous prime (42149414897) and next prime (42149414903).

It can be written as a sum of positive squares in 6 ways, for example, as 2816212624 + 39333202276 = 53068^2 + 198326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42149414903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7264241 + ... + 7270040.

Almost surely, 2^42149414900 is an apocalyptic number.

It is an amenable number.

42149414900 is an abundant number, since it is smaller than the sum of its proper divisors (52468760920).

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

42149414900 is a wasteful number, since it uses less digits than its factorization.

42149414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534324 (or 14534317 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 42149414900 in words is "forty-two billion, one hundred forty-nine million, four hundred fourteen thousand, nine hundred".