1934430398208 has 1080 divisors, whose sum is σ = 7751182635504. Its totient is φ = 472847155200.

The previous prime is 1934430398203. The next prime is 1934430398249. The reversal of 1934430398208 is 8028930344391.

1934430398208 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 43 + 0 + 398 + 208 = 666.

It is a super-2 number, since 2×1934430398208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934430398203) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189998878 + ... + 190009058.

Almost surely, 2^{1934430398208} is an apocalyptic number.

1934430398208 is a gapful number since it is divisible by the number (18) 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 1934430398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875591317752).

1934430398208 is an abundant number, since it is smaller than the sum of its proper divisors (5816752237296).

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

1934430398208 is a wasteful number, since it uses less digits than its factorization.

1934430398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1934430398208 in words is "one trillion, nine hundred thirty-four billion, four hundred thirty million, three hundred ninety-eight thousand, two hundred eight".