8234540294400 has 2592 divisors, whose sum is σ = 38239879991040. Its totient is φ = 1645184286720.

The previous prime is 8234540294371. The next prime is 8234540294401. The reversal of 8234540294400 is 44920454328.

8234540294400 is a `hidden beast` number, since 8 + 234 + 5 + 4 + 0 + 2 + 9 + 4 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8234540294401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6902380204 + ... + 6902381396.

It is an arithmetic number, because the mean of its divisors is an integer number (14753040120).

Almost surely, 2^{8234540294400} is an apocalyptic number.

8234540294400 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 8234540294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119939995520).

8234540294400 is an abundant number, since it is smaller than the sum of its proper divisors (30005339696640).

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

8234540294400 is a wasteful number, since it uses less digits than its factorization.

8234540294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 8234540294400 in words is "eight trillion, two hundred thirty-four billion, five hundred forty million, two hundred ninety-four thousand, four hundred".