423440304041400 has 384 divisors, whose sum is σ = 1391801044032000. Its totient is φ = 106281925263360.

The previous prime is 423440304041389. The next prime is 423440304041429. The reversal of 423440304041400 is 4140403044324.

It is a super-3 number, since 3×423440304041400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215779836 + ... + 217733364.

It is an arithmetic number, because the mean of its divisors is an integer number (3624481885500).

Almost surely, 2^{423440304041400} is an apocalyptic number.

423440304041400 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 423440304041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695900522016000).

423440304041400 is an abundant number, since it is smaller than the sum of its proper divisors (968360739990600).

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

423440304041400 is a wasteful number, since it uses less digits than its factorization.

423440304041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953823 (or 1953814 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 423440304041400 its reverse (4140403044324), we get a palindrome (427580707085724).

The spelling of 423440304041400 in words is "four hundred twenty-three trillion, four hundred forty billion, three hundred four million, forty-one thousand, four hundred".