42774251800 has 192 divisors, whose sum is σ = 117839332800. Its totient is φ = 14128128000.

The previous prime is 42774251791. The next prime is 42774251801. The reversal of 42774251800 is 815247724.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42774251801) 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 47 ways as a sum of consecutive naturals, for example, 24399724 + ... + 24401476.

It is an arithmetic number, because the mean of its divisors is an integer number (613746525).

Almost surely, 2^42774251800 is an apocalyptic number.

42774251800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42774251800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58919666400).

42774251800 is an abundant number, since it is smaller than the sum of its proper divisors (75065081000).

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

42774251800 is a wasteful number, since it uses less digits than its factorization.

42774251800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 42774251800 in words is "forty-two billion, seven hundred seventy-four million, two hundred fifty-one thousand, eight hundred".