4026184081920 has 4800 divisors, whose sum is σ = 20994848493696. Its totient is φ = 722369249280.

The previous prime is 4026184081919. The next prime is 4026184081961. The reversal of 4026184081920 is 291804816204.

4026184081920 is a `hidden beast` number, since 4 + 0 + 2 + 618 + 4 + 0 + 8 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24700515759 + ... + 24700515921.

Almost surely, 2^{4026184081920} is an apocalyptic number.

4026184081920 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 4026184081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497424246848).

4026184081920 is an abundant number, since it is smaller than the sum of its proper divisors (16968664411776).

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

4026184081920 is a wasteful number, since it uses less digits than its factorization.

4026184081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 4026184081920 in words is "four trillion, twenty-six billion, one hundred eighty-four million, eighty-one thousand, nine hundred twenty".