4131960000 has 280 divisors, whose sum is σ = 15616001280. Its totient is φ = 944256000.

The previous prime is 4131959929. The next prime is 4131960011. The reversal of 4131960000 is 691314.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837541 + ... + 842459.

Almost surely, 2^4131960000 is an apocalyptic number.

4131960000 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 4131960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808000640).

4131960000 is an abundant number, since it is smaller than the sum of its proper divisors (11484041280).

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

4131960000 is an equidigital number, since it uses as much as digits as its factorization.

4131960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4131960000 is about 64280.3235835042. The cubic root of 4131960000 is about 1604.6686557004.

The spelling of 4131960000 in words is "four billion, one hundred thirty-one million, nine hundred sixty thousand".