4006890000 has 225 divisors, whose sum is σ = 14079398619. Its totient is φ = 1063440000.

The previous prime is 4006889983. The next prime is 4006890001. The reversal of 4006890000 is 986004.

The square root of 4006890000 is 63300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 314140176 + 3692749824 = 17724^2 + 60768^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not an unprimeable number, because it can be changed into a prime (4006890001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18989895 + ... + 18990105.

Almost surely, 2^4006890000 is an apocalyptic number.

4006890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4006890000 is the 63300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006890000

4006890000 is an abundant number, since it is smaller than the sum of its proper divisors (10072508619).

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

4006890000 is an equidigital number, since it uses as much as digits as its factorization.

4006890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 4006890000 is about 1588.3119619248.

The spelling of 4006890000 in words is "four billion, six million, eight hundred ninety thousand".