4131962880 has 480 divisors, whose sum is σ = 14948043264. Its totient is φ = 968884224.

The previous prime is 4131962869. The next prime is 4131962893. The reversal of 4131962880 is 882691314.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96092139 + ... + 96092181.

Almost surely, 2^4131962880 is an apocalyptic number.

4131962880 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 4131962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474021632).

4131962880 is an abundant number, since it is smaller than the sum of its proper divisors (10816080384).

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

4131962880 is a wasteful number, since it uses less digits than its factorization.

4131962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4131962880 is about 64280.3459853788. The cubic root of 4131962880 is about 1604.6690285215.

The spelling of 4131962880 in words is "four billion, one hundred thirty-one million, nine hundred sixty-two thousand, eight hundred eighty".