407113323000 has 256 divisors, whose sum is σ = 1352085696000. Its totient is φ = 101692800000.

The previous prime is 407113322933. The next prime is 407113323013. The reversal of 407113323000 is 323311704.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5032875 + ... + 5113125.

It is an arithmetic number, because the mean of its divisors is an integer number (5281584750).

Almost surely, 2^407113323000 is an apocalyptic number.

407113323000 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 407113323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676042848000).

407113323000 is an abundant number, since it is smaller than the sum of its proper divisors (944972373000).

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

407113323000 is a wasteful number, since it uses less digits than its factorization.

407113323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80383 (or 80369 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 407113323000 its reverse (323311704), we get a palindrome (407436634704).

The spelling of 407113323000 in words is "four hundred seven billion, one hundred thirteen million, three hundred twenty-three thousand".