80034009422400 has 2520 divisors, whose sum is σ = 343794451559328. Its totient is φ = 18185637888000.

The previous prime is 80034009422399. The next prime is 80034009422407. The reversal of 80034009422400 is 422490043008.

80034009422400 is a `hidden beast` number, since 8 + 0 + 0 + 3 + 400 + 9 + 4 + 2 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80034009422407) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 88240362747 + ... + 88240363653.

Almost surely, 2^{80034009422400} is an apocalyptic number.

80034009422400 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 80034009422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171897225779664).

80034009422400 is an abundant number, since it is smaller than the sum of its proper divisors (263760442136928).

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

80034009422400 is a wasteful number, since it uses less digits than its factorization.

80034009422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 80034009422400 its reverse (422490043008), we get a palindrome (80456499465408).

The spelling of 80034009422400 in words is "eighty trillion, thirty-four billion, nine million, four hundred twenty-two thousand, four hundred".