412323150400 has 336 divisors, whose sum is σ = 1182294328320. Its totient is φ = 138616473600.

The previous prime is 412323150391. The next prime is 412323150403. The reversal of 412323150400 is 4051323214.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (412323150403) 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, 129212805 + ... + 129215995.

It is an arithmetic number, because the mean of its divisors is an integer number (3518733120).

Almost surely, 2^412323150400 is an apocalyptic number.

412323150400 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 412323150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591147164160).

412323150400 is an abundant number, since it is smaller than the sum of its proper divisors (769971177920).

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

412323150400 is a wasteful number, since it uses less digits than its factorization.

412323150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 412323150400 its reverse (4051323214), we get a palindrome (416374473614).

The spelling of 412323150400 in words is "four hundred twelve billion, three hundred twenty-three million, one hundred fifty thousand, four hundred".