1406142041360 has 160 divisors (see below), whose sum is σ = 3760416651264. Its totient is φ = 479001600000.

The previous prime is 1406142041357. The next prime is 1406142041399. The reversal of 1406142041360 is 631402416041.

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 31 ways as a sum of consecutive naturals, for example, 121727585 + ... + 121739135.

Almost surely, 2^{1406142041360} is an apocalyptic number.

1406142041360 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 1406142041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880208325632).

1406142041360 is an abundant number, since it is smaller than the sum of its proper divisors (2354274609904).

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

1406142041360 is a wasteful number, since it uses less digits than its factorization.

1406142041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12953 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 1406142041360 in words is "one trillion, four hundred six billion, one hundred forty-two million, forty-one thousand, three hundred sixty".