1405780650144 has 144 divisors (see below), whose sum is σ = 4316749629192. Its totient is φ = 431387817984.

The previous prime is 1405780650133. The next prime is 1405780650167. The reversal of 1405780650144 is 4410560875041.

1405780650144 is a `hidden beast` number, since 1 + 4 + 0 + 578 + 0 + 65 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1014830582544 + 390950067600 = 1007388^2 + 625260^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1405780650144.

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, 893194 + ... + 1899830.

Almost surely, 2^{1405780650144} 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 1405780650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158374814596).

1405780650144 is an abundant number, since it is smaller than the sum of its proper divisors (2910968979048).

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

1405780650144 is a wasteful number, since it uses less digits than its factorization.

1405780650144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007039 (or 1007028 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1405780650144 in words is "one trillion, four hundred five billion, seven hundred eighty million, six hundred fifty thousand, one hundred forty-four".