422414000400 has 240 divisors, whose sum is σ = 1561454695424. Its totient is φ = 95614179840.

The previous prime is 422414000399. The next prime is 422414000417. The reversal of 422414000400 is 4000414224.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621087 + ... + 1109313.

Almost surely, 2^422414000400 is an apocalyptic number.

422414000400 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 422414000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780727347712).

422414000400 is an abundant number, since it is smaller than the sum of its proper divisors (1139040695024).

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

422414000400 is a wasteful number, since it uses less digits than its factorization.

422414000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488358 (or 488347 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 422414000400 its reverse (4000414224), we get a palindrome (426414414624).

The spelling of 422414000400 in words is "four hundred twenty-two billion, four hundred fourteen million, four hundred", and thus it is an aban number.