401421131234004 has 384 divisors, whose sum is σ = 1158455732797440. Its totient is φ = 105667205529600.

The previous prime is 401421131233943. The next prime is 401421131234041. The reversal of 401421131234004 is 400432131124104.

It is a happy number.

It is a super-2 number, since 2×401421131234004² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30152560852 + ... + 30152574164.

It is an arithmetic number, because the mean of its divisors is an integer number (3016811804160).

Almost surely, 2^{401421131234004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401421131234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579227866398720).

401421131234004 is an abundant number, since it is smaller than the sum of its proper divisors (757034601563436).

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

401421131234004 is a wasteful number, since it uses less digits than its factorization.

401421131234004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15711 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 401421131234004 its reverse (400432131124104), we get a palindrome (801853262358108).

The spelling of 401421131234004 in words is "four hundred one trillion, four hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-four thousand, four".