421414000442040 has 32 divisors (see below), whose sum is σ = 1264242001326480. Its totient is φ = 112377066784512.

The previous prime is 421414000441999. The next prime is 421414000442059. The reversal of 421414000442040 is 40244000414124.

It is a super-3 number, since 3×421414000442040³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 421414000441989 and 421414000442007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755891668389 + ... + 1755891668628.

Almost surely, 2^{421414000442040} is an apocalyptic number.

421414000442040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421414000442040 is an abundant number, since it is smaller than the sum of its proper divisors (842828000884440).

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

421414000442040 is a wasteful number, since it uses less digits than its factorization.

421414000442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511783337031 (or 3511783337027 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 421414000442040 its reverse (40244000414124), we get a palindrome (461658000856164).

The spelling of 421414000442040 in words is "four hundred twenty-one trillion, four hundred fourteen billion, four hundred forty-two thousand, forty".