412155332230400 has 216 divisors, whose sum is σ = 1117121220540864. Its totient is φ = 149304793907200.

The previous prime is 412155332230333. The next prime is 412155332230429. The reversal of 412155332230400 is 4032233551214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7385012 + ... + 29645388.

It is an arithmetic number, because the mean of its divisors is an integer number (5171857502504).

Almost surely, 2^{412155332230400} is an apocalyptic number.

412155332230400 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 412155332230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558560610270432).

412155332230400 is an abundant number, since it is smaller than the sum of its proper divisors (704965888310464).

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

412155332230400 is a wasteful number, since it uses less digits than its factorization.

412155332230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22260677 (or 22260658 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 412155332230400 its reverse (4032233551214), we get a palindrome (416187565781614).

The spelling of 412155332230400 in words is "four hundred twelve trillion, one hundred fifty-five billion, three hundred thirty-two million, two hundred thirty thousand, four hundred".