421042401411400 has 192 divisors, whose sum is σ = 1004297461920000. Its totient is φ = 164084407603200.

The previous prime is 421042401411389. The next prime is 421042401411409. The reversal of 421042401411400 is 4114104240124.

It is not an unprimeable number, because it can be changed into a prime (421042401411409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14984234551 + ... + 14984262649.

It is an arithmetic number, because the mean of its divisors is an integer number (5230715947500).

Almost surely, 2^{421042401411400} is an apocalyptic number.

421042401411400 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 421042401411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502148730960000).

421042401411400 is an abundant number, since it is smaller than the sum of its proper divisors (583255060508600).

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

421042401411400 is a wasteful number, since it uses less digits than its factorization.

421042401411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35352 (or 35343 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 421042401411400 its reverse (4114104240124), we get a palindrome (425156505651524).

The spelling of 421042401411400 in words is "four hundred twenty-one trillion, forty-two billion, four hundred one million, four hundred eleven thousand, four hundred".