421404200414040 has 192 divisors, whose sum is σ = 1291777144558560. Its totient is φ = 109975495219200.

The previous prime is 421404200414033. The next prime is 421404200414123. The reversal of 421404200414040 is 40414002404124.

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 = 421404200413989 and 421404200414007.

It is a congruent number.

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, 4218168090 + ... + 4218267990.

Almost surely, 2^{421404200414040} is an apocalyptic number.

421404200414040 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 421404200414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645888572279280).

421404200414040 is an abundant number, since it is smaller than the sum of its proper divisors (870372944144520).

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

421404200414040 is a wasteful number, since it uses less digits than its factorization.

421404200414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115922 (or 115871 counting only the distinct ones).

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

Adding to 421404200414040 its reverse (40414002404124), we get a palindrome (461818202818164).

The spelling of 421404200414040 in words is "four hundred twenty-one trillion, four hundred four billion, two hundred million, four hundred fourteen thousand, forty".