8119469030400 has 2772 divisors, whose sum is σ = 37858089317832. Its totient is φ = 1710610513920.

The previous prime is 8119469030311. The next prime is 8119469030411. The reversal of 8119469030400 is 40309649118.

8119469030400 is a `hidden beast` number, since 8 + 119 + 46 + 90 + 3 + 0 + 400 = 666.

It is a super-2 number, since 2×8119469030400² (a number of 27 digits) contains 22 as substring.

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 251 ways as a sum of consecutive naturals, for example, 11887948459 + ... + 11887949141.

Almost surely, 2^{8119469030400} is an apocalyptic number.

8119469030400 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 8119469030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929044658916).

8119469030400 is an abundant number, since it is smaller than the sum of its proper divisors (29738620287432).

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

8119469030400 is a wasteful number, since it uses less digits than its factorization.

8119469030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 8119469030400 in words is "eight trillion, one hundred nineteen billion, four hundred sixty-nine million, thirty thousand, four hundred".