413021432400 has 120 divisors (see below), whose sum is σ = 1324437284160. Its totient is φ = 110023173120.

The previous prime is 413021432371. The next prime is 413021432479. The reversal of 413021432400 is 4234120314.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 963021 + ... + 1324179.

It is an arithmetic number, because the mean of its divisors is an integer number (11036977368).

Almost surely, 2^413021432400 is an apocalyptic number.

413021432400 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 413021432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662218642080).

413021432400 is an abundant number, since it is smaller than the sum of its proper divisors (911415851760).

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

413021432400 is a wasteful number, since it uses less digits than its factorization.

413021432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362133 (or 362122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413021432400 its reverse (4234120314), we get a palindrome (417255552714).

It can be divided in two parts, 4130214 and 32400, that added together give a palindrome (4162614).

The spelling of 413021432400 in words is "four hundred thirteen billion, twenty-one million, four hundred thirty-two thousand, four hundred".