4254147072 has 360 divisors, whose sum is σ = 14518039536. Its totient is φ = 1195536384.

The previous prime is 4254146971. The next prime is 4254147173. The reversal of 4254147072 is 2707414524.

4254147072 is a `hidden beast` number, since 4 + 2 + 541 + 47 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4254146971) and next prime (4254147173).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18740623 + ... + 18740849.

Almost surely, 2^4254147072 is an apocalyptic number.

4254147072 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 4254147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259019768).

4254147072 is an abundant number, since it is smaller than the sum of its proper divisors (10263892464).

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

4254147072 is a wasteful number, since it uses less digits than its factorization.

4254147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 4254147072 is about 65223.8228870403. The cubic root of 4254147072 is about 1620.3325883217.

The spelling of 4254147072 in words is "four billion, two hundred fifty-four million, one hundred forty-seven thousand, seventy-two".