42022204400400 has 240 divisors, whose sum is σ = 154175015584128. Its totient is φ = 9584239104000.

The previous prime is 42022204400321. The next prime is 42022204400411. The reversal of 42022204400400 is 400440222024.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1553461 + ... + 9298260.

Almost surely, 2^{42022204400400} is an apocalyptic number.

42022204400400 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 42022204400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77087507792064).

42022204400400 is an abundant number, since it is smaller than the sum of its proper divisors (112152811183728).

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

42022204400400 is a wasteful number, since it uses less digits than its factorization.

42022204400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852210 (or 10852199 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42022204400400 its reverse (400440222024), we get a palindrome (42422644622424).

The spelling of 42022204400400 in words is "forty-two trillion, twenty-two billion, two hundred four million, four hundred thousand, four hundred".