4054966272 has 392 divisors, whose sum is σ = 14038789296. Its totient is φ = 1146617856.

The previous prime is 4054966249. The next prime is 4054966367. The reversal of 4054966272 is 2726694504.

4054966272 is a `hidden beast` number, since 40 + 549 + 6 + 62 + 7 + 2 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 41803728 + ... + 41803824.

It is an arithmetic number, because the mean of its divisors is an integer number (35813238).

Almost surely, 2^4054966272 is an apocalyptic number.

4054966272 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 4054966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019394648).

4054966272 is an abundant number, since it is smaller than the sum of its proper divisors (9983823024).

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

4054966272 is an frugal number, since it uses more digits than its factorization.

4054966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4054966272 is about 63678.6170704107. The cubic root of 4054966272 is about 1594.6391248635.

The spelling of 4054966272 in words is "four billion, fifty-four million, nine hundred sixty-six thousand, two hundred seventy-two".