4181788704000 has 288 divisors, whose sum is σ = 13983079219200. Its totient is φ = 1107655680000.

The previous prime is 4181788703899. The next prime is 4181788704011. The reversal of 4181788704000 is 4078871814.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14157825 + ... + 14450175.

It is an arithmetic number, because the mean of its divisors is an integer number (48552358400).

Almost surely, 2^{4181788704000} is an apocalyptic number.

4181788704000 is a gapful number since it is divisible by the number (40) 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 4181788704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991539609600).

4181788704000 is an abundant number, since it is smaller than the sum of its proper divisors (9801290515200).

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

4181788704000 is a wasteful number, since it uses less digits than its factorization.

4181788704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292534 (or 292510 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 4181788704000 in words is "four trillion, one hundred eighty-one billion, seven hundred eighty-eight million, seven hundred four thousand".