11477830414400 has 336 divisors, whose sum is σ = 34028076825600. Its totient is φ = 3722434652160.

The previous prime is 11477830414397. The next prime is 11477830414417. The reversal of 11477830414400 is 441403877411.

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, 140194277 + ... + 140276123.

Almost surely, 2^{11477830414400} is an apocalyptic number.

11477830414400 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 11477830414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014038412800).

11477830414400 is an abundant number, since it is smaller than the sum of its proper divisors (22550246411200).

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

11477830414400 is a wasteful number, since it uses less digits than its factorization.

11477830414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82554 (or 82539 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 11477830414400 in words is "eleven trillion, four hundred seventy-seven billion, eight hundred thirty million, four hundred fourteen thousand, four hundred".