4061988000 has 672 divisors, whose sum is σ = 17187206400. Its totient is φ = 923788800.

The previous prime is 4061987989. The next prime is 4061988043. The reversal of 4061988000 is 8891604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20411901 + ... + 20412099.

It is an arithmetic number, because the mean of its divisors is an integer number (25576200).

Almost surely, 2^4061988000 is an apocalyptic number.

4061988000 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 4061988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593603200).

4061988000 is an abundant number, since it is smaller than the sum of its proper divisors (13125218400).

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

4061988000 is an equidigital number, since it uses as much as digits as its factorization.

4061988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4061988000 is about 63733.7273349049. The cubic root of 4061988000 is about 1595.5590392382.

The spelling of 4061988000 in words is "four billion, sixty-one million, nine hundred eighty-eight thousand".