4274174822400 has 3456 divisors, whose sum is σ = 19936255248000. Its totient is φ = 902961561600.

The previous prime is 4274174822399. The next prime is 4274174822429. The reversal of 4274174822400 is 42284714724.

It is a happy number.

4274174822400 is a `hidden beast` number, since 4 + 2 + 7 + 417 + 4 + 8 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 287 ways as a sum of consecutive naturals, for example, 104248166380 + ... + 104248166420.

It is an arithmetic number, because the mean of its divisors is an integer number (5768592375).

Almost surely, 2^{4274174822400} is an apocalyptic number.

4274174822400 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 4274174822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968127624000).

4274174822400 is an abundant number, since it is smaller than the sum of its proper divisors (15662080425600).

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

4274174822400 is an equidigital number, since it uses as much as digits as its factorization.

4274174822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 4274174822400 in words is "four trillion, two hundred seventy-four billion, one hundred seventy-four million, eight hundred twenty-two thousand, four hundred".