422000141002400 has 288 divisors, whose sum is σ = 1062911917533312. Its totient is φ = 163525945651200.

The previous prime is 422000141002399. The next prime is 422000141002439. The reversal of 422000141002400 is 4200141000224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36609705437 + ... + 36609716963.

It is an arithmetic number, because the mean of its divisors is an integer number (3690666380324).

Almost surely, 2^{422000141002400} is an apocalyptic number.

422000141002400 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 422000141002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531455958766656).

422000141002400 is an abundant number, since it is smaller than the sum of its proper divisors (640911776530912).

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

422000141002400 is a wasteful number, since it uses less digits than its factorization.

422000141002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22872 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 422000141002400 its reverse (4200141000224), we get a palindrome (426200282002624).

The spelling of 422000141002400 in words is "four hundred twenty-two trillion, one hundred forty-one million, two thousand, four hundred".