4268170326420 has 1536 divisors, whose sum is σ = 18316463800320. Its totient is φ = 806551603200.

The previous prime is 4268170326403. The next prime is 4268170326437. The reversal of 4268170326420 is 246230718624.

It is a happy number.

4268170326420 is a `hidden beast` number, since 4 + 26 + 8 + 170 + 32 + 6 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (4268170326403) and next prime (4268170326437).

It is a super-3 number, since 3×4268170326420³ (a number of 39 digits) contains 333 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3108644854 + ... + 3108646226.

It is an arithmetic number, because the mean of its divisors is an integer number (11924781120).

Almost surely, 2^{4268170326420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268170326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158231900160).

4268170326420 is an abundant number, since it is smaller than the sum of its proper divisors (14048293473900).

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

4268170326420 is a wasteful number, since it uses less digits than its factorization.

4268170326420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4268170326420 in words is "four trillion, two hundred sixty-eight billion, one hundred seventy million, three hundred twenty-six thousand, four hundred twenty".