27419161943040 has 352 divisors, whose sum is σ = 102359334057984. Its totient is φ = 6133890416640.

The previous prime is 27419161943003. The next prime is 27419161943053. The reversal of 27419161943040 is 4034916191472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340520 + ... + 7766360.

Almost surely, 2^{27419161943040} is an apocalyptic number.

27419161943040 is a gapful number since it is divisible by the number (20) 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 27419161943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51179667028992).

27419161943040 is an abundant number, since it is smaller than the sum of its proper divisors (74940172114944).

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

27419161943040 is a wasteful number, since it uses less digits than its factorization.

27419161943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425923 (or 5425905 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 27419161943040 in words is "twenty-seven trillion, four hundred nineteen billion, one hundred sixty-one million, nine hundred forty-three thousand, forty".