1445232210400 has 288 divisors, whose sum is σ = 3870907246080. Its totient is φ = 522547200000.

The previous prime is 1445232210379. The next prime is 1445232210419. The reversal of 1445232210400 is 40122325441.

It is a super-2 number, since 2×1445232210400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924410025 + ... + 1924410775.

It is an arithmetic number, because the mean of its divisors is an integer number (13440650160).

Almost surely, 2^{1445232210400} is an apocalyptic number.

1445232210400 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 1445232210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935453623040).

1445232210400 is an abundant number, since it is smaller than the sum of its proper divisors (2425675035680).

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

1445232210400 is a wasteful number, since it uses less digits than its factorization.

1445232210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 1445232210400 its reverse (40122325441), we get a palindrome (1485354535841).

The spelling of 1445232210400 in words is "one trillion, four hundred forty-five billion, two hundred thirty-two million, two hundred ten thousand, four hundred".