8000436400000 has 768 divisors, whose sum is σ = 23172279379200. Its totient is φ = 2720563200000.

The previous prime is 8000436399979. The next prime is 8000436400009. The reversal of 8000436400000 is 46340008.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000436400009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6938799424 + ... + 6938800576.

It is an arithmetic number, because the mean of its divisors is an integer number (30172238775).

Almost surely, 2^{8000436400000} is an apocalyptic number.

8000436400000 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 8000436400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11586139689600).

8000436400000 is an abundant number, since it is smaller than the sum of its proper divisors (15171842979200).

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

8000436400000 is a wasteful number, since it uses less digits than its factorization.

8000436400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 8000436400000 in words is "eight trillion, four hundred thirty-six million, four hundred thousand".