4002170731200 has 504 divisors, whose sum is σ = 15527922329920. Its totient is φ = 1011072844800.

The previous prime is 4002170731199. The next prime is 4002170731201. The reversal of 4002170731200 is 21370712004.

It is a happy number.

4002170731200 is a `hidden beast` number, since 400 + 2 + 1 + 70 + 73 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4002170731199) and next prime (4002170731201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4002170731201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7116315 + ... + 7658085.

Almost surely, 2^{4002170731200} is an apocalyptic number.

4002170731200 is a gapful number since it is divisible by the number (40) 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 4002170731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763961164960).

4002170731200 is an abundant number, since it is smaller than the sum of its proper divisors (11525751598720).

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

4002170731200 is a wasteful number, since it uses less digits than its factorization.

4002170731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541827 (or 541800 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 4002170731200 in words is "four trillion, two billion, one hundred seventy million, seven hundred thirty-one thousand, two hundred".