8040125642880 has 512 divisors, whose sum is σ = 27610149888000. Its totient is φ = 1983684722688.

The previous prime is 8040125642851. The next prime is 8040125642891. The reversal of 8040125642880 is 882465210408.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 834985906 + ... + 834995534.

It is an arithmetic number, because the mean of its divisors is an integer number (53926074000).

Almost surely, 2^{8040125642880} is an apocalyptic number.

8040125642880 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 8040125642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13805074944000).

8040125642880 is an abundant number, since it is smaller than the sum of its proper divisors (19570024245120).

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

8040125642880 is a wasteful number, since it uses less digits than its factorization.

8040125642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 8040125642880 in words is "eight trillion, forty billion, one hundred twenty-five million, six hundred forty-two thousand, eight hundred eighty".