4056660972 has 288 divisors, whose sum is σ = 13948526592. Its totient is φ = 962869248.

The previous prime is 4056660967. The next prime is 4056660973. The reversal of 4056660972 is 2790666504.

It is not an unprimeable number, because it can be changed into a prime (4056660973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279333 + ... + 1282499.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 2^4056660972 is an apocalyptic number.

4056660972 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 4056660972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974263296).

4056660972 is an abundant number, since it is smaller than the sum of its proper divisors (9891865620).

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

4056660972 is a wasteful number, since it uses less digits than its factorization.

4056660972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4056660972 is about 63691.9223449881. The cubic root of 4056660972 is about 1594.8612441408.

The spelling of 4056660972 in words is "four billion, fifty-six million, six hundred sixty thousand, nine hundred seventy-two".