1405566740352 has 128 divisors (see below), whose sum is σ = 3855286656000. Its totient is φ = 453254123520.

The previous prime is 1405566740317. The next prime is 1405566740353. The reversal of 1405566740352 is 2530476655041.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405566740353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37919524 + ... + 37956572.

It is an arithmetic number, because the mean of its divisors is an integer number (30119427000).

Almost surely, 2^{1405566740352} is an apocalyptic number.

1405566740352 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 1405566740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927643328000).

1405566740352 is an abundant number, since it is smaller than the sum of its proper divisors (2449719915648).

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

1405566740352 is a wasteful number, since it uses less digits than its factorization.

1405566740352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40284 (or 40272 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 1405566740352 in words is "one trillion, four hundred five billion, five hundred sixty-six million, seven hundred forty thousand, three hundred fifty-two".