1322465828400 has 180 divisors, whose sum is σ = 4591027584000. Its totient is φ = 352526630400.

The previous prime is 1322465828377. The next prime is 1322465828413. The reversal of 1322465828400 is 48285642231.

1322465828400 is a `hidden beast` number, since 1 + 3 + 2 + 24 + 6 + 582 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9829585 + ... + 9963215.

It is an arithmetic number, because the mean of its divisors is an integer number (25505708800).

Almost surely, 2^{1322465828400} is an apocalyptic number.

1322465828400 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 1322465828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295513792000).

1322465828400 is an abundant number, since it is smaller than the sum of its proper divisors (3268561755600).

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

1322465828400 is a wasteful number, since it uses less digits than its factorization.

1322465828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136404 (or 136390 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1322465828400 in words is "one trillion, three hundred twenty-two billion, four hundred sixty-five million, eight hundred twenty-eight thousand, four hundred".