420425434441000 has 64 divisors (see below), whose sum is σ = 983827745718480. Its totient is φ = 168164664524800.

The previous prime is 420425434440961. The next prime is 420425434441031. The reversal of 420425434441000 is 144434524024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2132049703716 + 418293384737284 = 1460154^2 + 20452222^2 .

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, 23721732 + ... + 37464268.

Almost surely, 2^{420425434441000} is an apocalyptic number.

420425434441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420425434441000 is an abundant number, since it is smaller than the sum of its proper divisors (563402311277480).

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

420425434441000 is a wasteful number, since it uses less digits than its factorization.

420425434441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13773151 (or 13773137 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 420425434441000 its reverse (144434524024), we get a palindrome (420569868965024).

The spelling of 420425434441000 in words is "four hundred twenty trillion, four hundred twenty-five billion, four hundred thirty-four million, four hundred forty-one thousand".