1409095959552 has 264 divisors, whose sum is σ = 4119168208896. Its totient is φ = 463910436864.

The previous prime is 1409095959547. The next prime is 1409095959589. The reversal of 1409095959552 is 2559595909041.

1409095959552 is a `hidden beast` number, since 1 + 409 + 0 + 9 + 5 + 95 + 95 + 52 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1409095959552.

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, 272708073 + ... + 272713239.

Almost surely, 2^{1409095959552} is an apocalyptic number.

1409095959552 is a gapful number since it is divisible by the number (12) 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 1409095959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059584104448).

1409095959552 is an abundant number, since it is smaller than the sum of its proper divisors (2710072249344).

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

1409095959552 is a wasteful number, since it uses less digits than its factorization.

1409095959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 32805000, while the sum is 63.

The spelling of 1409095959552 in words is "one trillion, four hundred nine billion, ninety-five million, nine hundred fifty-nine thousand, five hundred fifty-two".