4010481600 has 168 divisors, whose sum is σ = 13374398448. Its totient is φ = 1051852800.

The previous prime is 4010481593. The next prime is 4010481613. The reversal of 4010481600 is 61840104.

4010481600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 285952 + ... + 299648.

Almost surely, 2^4010481600 is an apocalyptic number.

4010481600 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 4010481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687199224).

4010481600 is an abundant number, since it is smaller than the sum of its proper divisors (9363916848).

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

4010481600 is a wasteful number, since it uses less digits than its factorization.

4010481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4010481600 is about 63328.3633137633. The cubic root of 4010481600 is about 1588.7863845356.

The spelling of 4010481600 in words is "four billion, ten million, four hundred eighty-one thousand, six hundred".