4011955600 has 45 divisors (see below), whose sum is σ = 9641767777. Its totient is φ = 1604275520.

The previous prime is 4011955561. The next prime is 4011955603. The reversal of 4011955600 is 65591104.

The square root of 4011955600 is 63340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1444304016 + 2567651584 = 38004^2 + 50672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4011955603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1265217 + ... + 1268383.

Almost surely, 2^4011955600 is an apocalyptic number.

4011955600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4011955600 is the 63340-th square number.

It is an amenable number.

4011955600 is an abundant number, since it is smaller than the sum of its proper divisors (5629812177).

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

4011955600 is an frugal number, since it uses more digits than its factorization.

4011955600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 4011955600 is about 1588.9810065715.

The spelling of 4011955600 in words is "four billion, eleven million, nine hundred fifty-five thousand, six hundred".