1450561827200 has 192 divisors, whose sum is σ = 3662043739200. Its totient is φ = 567497687040.

The previous prime is 1450561827191. The next prime is 1450561827223. The reversal of 1450561827200 is 27281650541.

It is a super-2 number, since 2×1450561827200² (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 23 ways as a sum of consecutive naturals, for example, 347271512 + ... + 347275688.

It is an arithmetic number, because the mean of its divisors is an integer number (19073144475).

Almost surely, 2^{1450561827200} is an apocalyptic number.

1450561827200 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 1450561827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831021869600).

1450561827200 is an abundant number, since it is smaller than the sum of its proper divisors (2211481912000).

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

1450561827200 is a wasteful number, since it uses less digits than its factorization.

1450561827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 1450561827200 in words is "one trillion, four hundred fifty billion, five hundred sixty-one million, eight hundred twenty-seven thousand, two hundred".