414225344000 has 160 divisors (see below), whose sum is σ = 1112352617376. Its totient is φ = 152944435200.

The previous prime is 414225343999. The next prime is 414225344059. The reversal of 414225344000 is 443522414.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×414225344000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583067 + ... + 1080933.

Almost surely, 2^414225344000 is an apocalyptic number.

414225344000 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 414225344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556176308688).

414225344000 is an abundant number, since it is smaller than the sum of its proper divisors (698127273376).

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

414225344000 is an equidigital number, since it uses as much as digits as its factorization.

414225344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497913 (or 497887 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 414225344000 its reverse (443522414), we get a palindrome (414668866414).

The spelling of 414225344000 in words is "four hundred fourteen billion, two hundred twenty-five million, three hundred forty-four thousand".