1324623106400 has 864 divisors, whose sum is σ = 3878031790080. Its totient is φ = 440042803200.

The previous prime is 1324623106349. The next prime is 1324623106493. The reversal of 1324623106400 is 46013264231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10430103137 + ... + 10430103263.

It is an arithmetic number, because the mean of its divisors is an integer number (4488462720).

Almost surely, 2^{1324623106400} is an apocalyptic number.

1324623106400 is a gapful number since it is divisible by the number (10) 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 1324623106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939015895040).

1324623106400 is an abundant number, since it is smaller than the sum of its proper divisors (2553408683680).

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

1324623106400 is a wasteful number, since it uses less digits than its factorization.

1324623106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 1324623106400 in words is "one trillion, three hundred twenty-four billion, six hundred twenty-three million, one hundred six thousand, four hundred".