4170848081400 has 864 divisors, whose sum is σ = 19142625574800. Its totient is φ = 800000409600.

The previous prime is 4170848081381. The next prime is 4170848081401. The reversal of 4170848081400 is 41808480714.

It is a happy number.

4170848081400 is a `hidden beast` number, since 4 + 17 + 0 + 84 + 80 + 81 + 400 = 666.

It is a super-2 number, since 2×4170848081400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170848081401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12447256 + ... + 12777944.

Almost surely, 2^{4170848081400} is an apocalyptic number.

4170848081400 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 4170848081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571312787400).

4170848081400 is an abundant number, since it is smaller than the sum of its proper divisors (14971777493400).

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

4170848081400 is a wasteful number, since it uses less digits than its factorization.

4170848081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330749 (or 330730 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 4170848081400 in words is "four trillion, one hundred seventy billion, eight hundred forty-eight million, eighty-one thousand, four hundred".