1409100814772 has 48 divisors (see below), whose sum is σ = 2917328400000. Its totient is φ = 582686719104.

The previous prime is 1409100814769. The next prime is 1409100814829. The reversal of 1409100814772 is 2774180019041.

It is a super-2 number, since 2×1409100814772² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 638354 + ... + 1796022.

It is an arithmetic number, because the mean of its divisors is an integer number (60777675000).

Almost surely, 2^{1409100814772} 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 1409100814772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458664200000).

1409100814772 is an abundant number, since it is smaller than the sum of its proper divisors (1508227585228).

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

1409100814772 is a wasteful number, since it uses less digits than its factorization.

1409100814772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159208 (or 1159206 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 1409100814772 in words is "one trillion, four hundred nine billion, one hundred million, eight hundred fourteen thousand, seven hundred seventy-two".