42116201400 has 192 divisors, whose sum is σ = 160689715200. Its totient is φ = 8886044160.

The previous prime is 42116201399. The next prime is 42116201417. The reversal of 42116201400 is 410261124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 331080 + ... + 440279.

It is an arithmetic number, because the mean of its divisors is an integer number (836925600).

Almost surely, 2^42116201400 is an apocalyptic number.

42116201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42116201400 is an abundant number, since it is smaller than the sum of its proper divisors (118573513800).

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

42116201400 is a wasteful number, since it uses less digits than its factorization.

42116201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771398 (or 771389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42116201400 its reverse (410261124), we get a palindrome (42526462524).

The spelling of 42116201400 in words is "forty-two billion, one hundred sixteen million, two hundred one thousand, four hundred".