80430433403408 has 240 divisors, whose sum is σ = 176773216790016. Its totient is φ = 35402949120000.

The previous prime is 80430433403407. The next prime is 80430433403503.

80430433403408 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (80430433403407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5866117673 + ... + 5866131383.

Almost surely, 2^{80430433403408} is an apocalyptic number.

80430433403408 is a gapful number since it is divisible by the number (88) 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 80430433403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88386608395008).

80430433403408 is an abundant number, since it is smaller than the sum of its proper divisors (96342783386608).

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

80430433403408 is a wasteful number, since it uses less digits than its factorization.

80430433403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 80430433403408 in words is "eighty trillion, four hundred thirty billion, four hundred thirty-three million, four hundred three thousand, four hundred eight".