1461564022420 has 96 divisors (see below), whose sum is σ = 3326692239360. Its totient is φ = 537276702720.

The previous prime is 1461564022381. The next prime is 1461564022433. The reversal of 1461564022420 is 242204651641.

It is a self number, because there is not a number n which added to its sum of digits gives 1461564022420.

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, 6781276 + ... + 6993484.

It is an arithmetic number, because the mean of its divisors is an integer number (34653044160).

Almost surely, 2^{1461564022420} is an apocalyptic number.

1461564022420 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 1461564022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663346119680).

1461564022420 is an abundant number, since it is smaller than the sum of its proper divisors (1865128216940).

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

1461564022420 is a wasteful number, since it uses less digits than its factorization.

1461564022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212713 (or 212711 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 1461564022420 in words is "one trillion, four hundred sixty-one billion, five hundred sixty-four million, twenty-two thousand, four hundred twenty".