80716429440 has 384 divisors, whose sum is σ = 287223693120. Its totient is φ = 20872028160.

The previous prime is 80716429429. The next prime is 80716429457. The reversal of 80716429440 is 4492461708.

80716429440 is a `hidden beast` number, since 80 + 71 + 64 + 2 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99526635 + ... + 99527445.

Almost surely, 2^80716429440 is an apocalyptic number.

80716429440 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 80716429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143611846560).

80716429440 is an abundant number, since it is smaller than the sum of its proper divisors (206507263680).

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

80716429440 is a wasteful number, since it uses less digits than its factorization.

80716429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 80716429440 in words is "eighty billion, seven hundred sixteen million, four hundred twenty-nine thousand, four hundred forty".