1323411410400 has 72 divisors (see below), whose sum is σ = 4307704148664. Its totient is φ = 352909708800.

The previous prime is 1323411410353. The next prime is 1323411410411. The reversal of 1323411410400 is 40141143231.

It is a super-2 number, since 2×1323411410400² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 275708311 + ... + 275713110.

It is an arithmetic number, because the mean of its divisors is an integer number (59829224287).

Almost surely, 2^{1323411410400} is an apocalyptic number.

1323411410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323411410400 is an abundant number, since it is smaller than the sum of its proper divisors (2984292738264).

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

1323411410400 is a wasteful number, since it uses less digits than its factorization.

1323411410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551421444 (or 551421431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1323411410400 its reverse (40141143231), we get a palindrome (1363552553631).

The spelling of 1323411410400 in words is "one trillion, three hundred twenty-three billion, four hundred eleven million, four hundred ten thousand, four hundred".