8419028904000 has 1344 divisors, whose sum is σ = 35465337573120. Its totient is φ = 1879511040000.

The previous prime is 8419028903953. The next prime is 8419028904017. The reversal of 8419028904000 is 4098209148.

8419028904000 is a `hidden beast` number, since 84 + 1 + 90 + 2 + 89 + 0 + 400 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 6373223340 + ... + 6373224660.

It is an arithmetic number, because the mean of its divisors is an integer number (26387899980).

Almost surely, 2^{8419028904000} is an apocalyptic number.

8419028904000 is a gapful number since it is divisible by the number (80) 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 8419028904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17732668786560).

8419028904000 is an abundant number, since it is smaller than the sum of its proper divisors (27046308669120).

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

8419028904000 is a wasteful number, since it uses less digits than its factorization.

8419028904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 8419028904000 in words is "eight trillion, four hundred nineteen billion, twenty-eight million, nine hundred four thousand".