1441086618100 has 72 divisors (see below), whose sum is σ = 3306766853376. Its totient is φ = 544234080000.

The previous prime is 1441086618089. The next prime is 1441086618143. The reversal of 1441086618100 is 18166801441.

It is a happy number.

It is a super-2 number, since 2×1441086618100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5542006 + ... + 5796205.

It is an arithmetic number, because the mean of its divisors is an integer number (45927317408).

Almost surely, 2^{1441086618100} is an apocalyptic number.

1441086618100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441086618100 is an abundant number, since it is smaller than the sum of its proper divisors (1865680235276).

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

1441086618100 is a wasteful number, since it uses less digits than its factorization.

1441086618100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338297 (or 11338290 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 1441086618100 in words is "one trillion, four hundred forty-one billion, eighty-six million, six hundred eighteen thousand, one hundred".