1409119395840 has 672 divisors, whose sum is σ = 5284060104960. Its totient is φ = 345301843968.

The previous prime is 1409119395833. The next prime is 1409119395863. The reversal of 1409119395840 is 485939119041.

It is a happy number.

1409119395840 is a `hidden beast` number, since 1 + 40 + 9 + 1 + 19 + 3 + 9 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356226041 + ... + 1356227079.

It is an arithmetic number, because the mean of its divisors is an integer number (7863184680).

Almost surely, 2^{1409119395840} is an apocalyptic number.

1409119395840 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 1409119395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642030052480).

1409119395840 is an abundant number, since it is smaller than the sum of its proper divisors (3874940709120).

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

1409119395840 is a wasteful number, since it uses less digits than its factorization.

1409119395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1409119395840 in words is "one trillion, four hundred nine billion, one hundred nineteen million, three hundred ninety-five thousand, eight hundred forty".