4274237140992 has 2496 divisors, whose sum is σ = 17394192668160. Its totient is φ = 1023802343424.

The previous prime is 4274237140969. The next prime is 4274237141003. The reversal of 4274237140992 is 2990417324724.

4274237140992 is a `hidden beast` number, since 4 + 27 + 423 + 71 + 40 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 51496832983 + ... + 51496833065.

Almost surely, 2^{4274237140992} is an apocalyptic number.

4274237140992 is a gapful number since it is divisible by the number (42) 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 4274237140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697096334080).

4274237140992 is an abundant number, since it is smaller than the sum of its proper divisors (13119955527168).

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

4274237140992 is a wasteful number, since it uses less digits than its factorization.

4274237140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4274237140992 in words is "four trillion, two hundred seventy-four billion, two hundred thirty-seven million, one hundred forty thousand, nine hundred ninety-two".