8401695181200 has 960 divisors, whose sum is σ = 32738776012800. Its totient is φ = 2037237350400.

The previous prime is 8401695181193. The next prime is 8401695181207. The reversal of 8401695181200 is 21815961048.

It is a happy number.

8401695181200 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 6 + 9 + 518 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8401695181193) and next prime (8401695181207).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (8401695181207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5879422086 + ... + 5879423514.

It is an arithmetic number, because the mean of its divisors is an integer number (34102891680).

Almost surely, 2^{8401695181200} is an apocalyptic number.

8401695181200 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 8401695181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16369388006400).

8401695181200 is an abundant number, since it is smaller than the sum of its proper divisors (24337080831600).

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

8401695181200 is a wasteful number, since it uses less digits than its factorization.

8401695181200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 8401695181200 in words is "eight trillion, four hundred one billion, six hundred ninety-five million, one hundred eighty-one thousand, two hundred".