4273702917120 has 3168 divisors, whose sum is σ = 19978431782400. Its totient is φ = 834737799168.

The previous prime is 4273702917079. The next prime is 4273702917157. The reversal of 4273702917120 is 217192073724.

4273702917120 is a `hidden beast` number, since 4 + 273 + 7 + 0 + 291 + 71 + 20 = 666.

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, 44058792912 + ... + 44058793008.

Almost surely, 2^{4273702917120} is an apocalyptic number.

4273702917120 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 4273702917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989215891200).

4273702917120 is an abundant number, since it is smaller than the sum of its proper divisors (15704728865280).

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

4273702917120 is a wasteful number, since it uses less digits than its factorization.

4273702917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 4273702917120 in words is "four trillion, two hundred seventy-three billion, seven hundred two million, nine hundred seventeen thousand, one hundred twenty".