42233002211400 has 768 divisors, whose sum is σ = 180534805032960. Its totient is φ = 7881695539200.

The previous prime is 42233002211383. The next prime is 42233002211423. The reversal of 42233002211400 is 411220033224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21271957 + ... + 23172443.

It is an arithmetic number, because the mean of its divisors is an integer number (235071360720).

Almost surely, 2^{42233002211400} is an apocalyptic number.

42233002211400 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 42233002211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90267402516480).

42233002211400 is an abundant number, since it is smaller than the sum of its proper divisors (138301802821560).

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

42233002211400 is a wasteful number, since it uses less digits than its factorization.

42233002211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900574 (or 1900565 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42233002211400 its reverse (411220033224), we get a palindrome (42644222244624).

The spelling of 42233002211400 in words is "forty-two trillion, two hundred thirty-three billion, two million, two hundred eleven thousand, four hundred".