1405407879001 has 27 divisors (see below), whose sum is σ = 1646538321141. Its totient is φ = 1196092619064.

The previous prime is 1405407878957. The next prime is 1405407879013. The reversal of 1405407879001 is 1009787045041.

It is a happy number.

The square root of 1405407879001 is 1185499.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1405407879001 - 2⁷ = 1405407878873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1405407879301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1352653840 + ... + 1352654878.

It is an arithmetic number, because the mean of its divisors is an integer number (60982900783).

Almost surely, 2^{1405407879001} is an apocalyptic number.

1405407879001 is the 1185499-th square number.

1405407879001 is the 592750-th centered octagonal number.

It is an amenable number.

1405407879001 is a deficient number, since it is larger than the sum of its proper divisors (241130442140).

1405407879001 is an frugal number, since it uses more digits than its factorization.

1405407879001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 1405407879001 in words is "one trillion, four hundred five billion, four hundred seven million, eight hundred seventy-nine thousand, one".