1461059988432 has 160 divisors (see below), whose sum is σ = 4361856299520. Its totient is φ = 416770997760.

The previous prime is 1461059988389. The next prime is 1461059988503. The reversal of 1461059988432 is 2348899501641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111203 + ... + 2038845.

It is an arithmetic number, because the mean of its divisors is an integer number (27261601872).

Almost surely, 2^{1461059988432} is an apocalyptic number.

1461059988432 is a gapful number since it is divisible by the number (12) 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 1461059988432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180928149760).

1461059988432 is an abundant number, since it is smaller than the sum of its proper divisors (2900796311088).

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

1461059988432 is a wasteful number, since it uses less digits than its factorization.

1461059988432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927841 (or 927835 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 1461059988432 in words is "one trillion, four hundred sixty-one billion, fifty-nine million, nine hundred eighty-eight thousand, four hundred thirty-two".