1405412785440 has 288 divisors, whose sum is σ = 5111730239616. Its totient is φ = 350394163200.

The previous prime is 1405412785433. The next prime is 1405412785499. The reversal of 1405412785440 is 445872145041.

1405412785440 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 127 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3506379 + ... + 3886581.

It is an arithmetic number, because the mean of its divisors is an integer number (17749063332).

Almost surely, 2^{1405412785440} is an apocalyptic number.

1405412785440 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 1405412785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555865119808).

1405412785440 is an abundant number, since it is smaller than the sum of its proper divisors (3706317454176).

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

1405412785440 is a wasteful number, since it uses less digits than its factorization.

1405412785440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380392 (or 380381 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 1405412785440 in words is "one trillion, four hundred five billion, four hundred twelve million, seven hundred eighty-five thousand, four hundred forty".