8042124626496 has 441 divisors, whose sum is σ = 25289131147443. Its totient is φ = 2535943023360.

The previous prime is 8042124626411. The next prime is 8042124626509. The reversal of 8042124626496 is 6946264212408.

The square root of 8042124626496 is 2835864.

It is a perfect power (a square), and thus also a powerful number.

8042124626496 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 1 + 2 + 4 + 626 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11638385511 + ... + 11638386201.

Almost surely, 2^{8042124626496} is an apocalyptic number.

8042124626496 is the 2835864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042124626496

8042124626496 is an abundant number, since it is smaller than the sum of its proper divisors (17247006520947).

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

8042124626496 is an frugal number, since it uses more digits than its factorization.

8042124626496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 8042124626496 in words is "eight trillion, forty-two billion, one hundred twenty-four million, six hundred twenty-six thousand, four hundred ninety-six".