1461250602240 has 2304 divisors, whose sum is σ = 6088092917760. Its totient is φ = 293520015360.

The previous prime is 1461250602239. The next prime is 1461250602257. The reversal of 1461250602240 is 422060521641.

1461250602240 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

1461250602240 is strictly pandigital in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24766959331 + ... + 24766959389.

It is an arithmetic number, because the mean of its divisors is an integer number (2642401440).

Almost surely, 2^{1461250602240} is an apocalyptic number.

1461250602240 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 1461250602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044046458880).

1461250602240 is an abundant number, since it is smaller than the sum of its proper divisors (4626842315520).

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

1461250602240 is a wasteful number, since it uses less digits than its factorization.

1461250602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1461250602240 in words is "one trillion, four hundred sixty-one billion, two hundred fifty million, six hundred two thousand, two hundred forty".