8014078926000 has 400 divisors, whose sum is σ = 33082800928320. Its totient is φ = 1831789209600.

The previous prime is 8014078925947. The next prime is 8014078926001. The reversal of 8014078926000 is 6298704108.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×8014078926000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8014078926001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2399545 + ... + 4667544.

Almost surely, 2^{8014078926000} is an apocalyptic number.

8014078926000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8014078926000 is an abundant number, since it is smaller than the sum of its proper divisors (25068722002320).

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

8014078926000 is a wasteful number, since it uses less digits than its factorization.

8014078926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067131 (or 7067106 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8014078926000 in words is "eight trillion, fourteen billion, seventy-eight million, nine hundred twenty-six thousand".