4274071401600 has 6912 divisors, whose sum is σ = 23744930227200. Its totient is φ = 730968883200.

The previous prime is 4274071401563. The next prime is 4274071401641. The reversal of 4274071401600 is 61041704724.

It is a happy number.

4274071401600 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 0 + 7 + 1 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 224951126391 + ... + 224951126409.

Almost surely, 2^{4274071401600} is an apocalyptic number.

4274071401600 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 4274071401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872465113600).

4274071401600 is an abundant number, since it is smaller than the sum of its proper divisors (19470858825600).

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

4274071401600 is a wasteful number, since it uses less digits than its factorization.

4274071401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 4274071401600 in words is "four trillion, two hundred seventy-four billion, seventy-one million, four hundred one thousand, six hundred".