4129891920 has 960 divisors, whose sum is σ = 18718801920. Its totient is φ = 821145600.

The previous prime is 4129891903. The next prime is 4129891933. The reversal of 4129891920 is 291989214.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46403236 + ... + 46403324.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^4129891920 is an apocalyptic number.

4129891920 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 4129891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4129891920 is an abundant number, since it is smaller than the sum of its proper divisors (14588910000).

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

4129891920 is a wasteful number, since it uses less digits than its factorization.

4129891920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 4129891920 is about 64264.2351545554. The cubic root of 4129891920 is about 1604.4008943985.

The spelling of 4129891920 in words is "four billion, one hundred twenty-nine million, eight hundred ninety-one thousand, nine hundred twenty".