8400056801 has 8 divisors (see below), whose sum is σ = 8466647904. Its totient is φ = 8333503360.

The previous prime is 8400056773. The next prime is 8400056839. The reversal of 8400056801 is 1086500048.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8400056801 - 2²⁶ = 8332947937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8400056891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585425 + ... + 599601.

It is an arithmetic number, because the mean of its divisors is an integer number (1058330988).

Almost surely, 2^8400056801 is an apocalyptic number.

It is an amenable number.

8400056801 is a deficient number, since it is larger than the sum of its proper divisors (66591103).

8400056801 is a wasteful number, since it uses less digits than its factorization.

8400056801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18831.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8400056801 is about 91651.8237734525. The cubic root of 8400056801 is about 2032.7972955503.

Adding to 8400056801 its reverse (1086500048), we get a palindrome (9486556849).

The spelling of 8400056801 in words is "eight billion, four hundred million, fifty-six thousand, eight hundred one".