8014129920 has 216 divisors, whose sum is σ = 28623783552. Its totient is φ = 2068070400.

The previous prime is 8014129897. The next prime is 8014129933. The reversal of 8014129920 is 299214108.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345900 + ... + 368340.

Almost surely, 2^8014129920 is an apocalyptic number.

8014129920 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 8014129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311891776).

8014129920 is an abundant number, since it is smaller than the sum of its proper divisors (20609653632).

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

8014129920 is a wasteful number, since it uses less digits than its factorization.

8014129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22499 (or 22482 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8014129920 is about 89521.6729066208. The cubic root of 8014129920 is about 2001.1768007675.

The spelling of 8014129920 in words is "eight billion, fourteen million, one hundred twenty-nine thousand, nine hundred twenty".