421401400040 has 128 divisors (see below), whose sum is σ = 987222297600. Its totient is φ = 161693952000.

The previous prime is 421401400027. The next prime is 421401400109. The reversal of 421401400040 is 40004104124.

It is a happy number.

It is a super-2 number, since 2×421401400040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 421401399985 and 421401400021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133058537 + ... + 133061703.

It is an arithmetic number, because the mean of its divisors is an integer number (7712674200).

Almost surely, 2^421401400040 is an apocalyptic number.

421401400040 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 421401400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493611148800).

421401400040 is an abundant number, since it is smaller than the sum of its proper divisors (565820897560).

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

421401400040 is a wasteful number, since it uses less digits than its factorization.

421401400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 421401400040 its reverse (40004104124), we get a palindrome (461405504164).

The spelling of 421401400040 in words is "four hundred twenty-one billion, four hundred one million, four hundred thousand, forty".