1405661552544 has 96 divisors (see below), whose sum is σ = 3888569825280. Its totient is φ = 443378264832.

The previous prime is 1405661552531. The next prime is 1405661552557. The reversal of 1405661552544 is 4452551665041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1405661552531) and next prime (1405661552557).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1405661552493 and 1405661552502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127619 + ... + 2020605.

It is an arithmetic number, because the mean of its divisors is an integer number (40505935680).

Almost surely, 2^{1405661552544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405661552544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944284912640).

1405661552544 is an abundant number, since it is smaller than the sum of its proper divisors (2482908272736).

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

1405661552544 is a wasteful number, since it uses less digits than its factorization.

1405661552544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893882 (or 893874 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 1405661552544 in words is "one trillion, four hundred five billion, six hundred sixty-one million, five hundred fifty-two thousand, five hundred forty-four".