42102401200 has 30 divisors (see below), whose sum is σ = 101151019844. Its totient is φ = 16840960320.

The previous prime is 42102401197. The next prime is 42102401203. The reversal of 42102401200 is 210420124.

It is an interprime number because it is at equal distance from previous prime (42102401197) and next prime (42102401203).

It is a super-2 number, since 2×42102401200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42102401203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52627602 + ... + 52628401.

Almost surely, 2^42102401200 is an apocalyptic number.

42102401200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102401200 is an abundant number, since it is smaller than the sum of its proper divisors (59048618644).

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

42102401200 is a wasteful number, since it uses less digits than its factorization.

42102401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105256021 (or 105256010 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42102401200 its reverse (210420124), we get a palindrome (42312821324).

The spelling of 42102401200 in words is "forty-two billion, one hundred two million, four hundred one thousand, two hundred".