8419947953400 has 192 divisors, whose sum is σ = 29015628818400. Its totient is φ = 2244267648000.

The previous prime is 8419947953371. The next prime is 8419947953419. The reversal of 8419947953400 is 43597499148.

8419947953400 is a `hidden beast` number, since 8 + 4 + 1 + 9 + 94 + 7 + 9 + 534 + 0 + 0 = 666.

It is a congruent number.

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, 11197260 + ... + 11925540.

Almost surely, 2^{8419947953400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8419947953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507814409200).

8419947953400 is an abundant number, since it is smaller than the sum of its proper divisors (20595680865000).

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

8419947953400 is a wasteful number, since it uses less digits than its factorization.

8419947953400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730447 (or 730432 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 8419947953400 in words is "eight trillion, four hundred nineteen billion, nine hundred forty-seven million, nine hundred fifty-three thousand, four hundred".