4060742400 has 1296 divisors, whose sum is σ = 18682241760. Its totient is φ = 825753600.

The previous prime is 4060742351. The next prime is 4060742461. The reversal of 4060742400 is 42470604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140025586 + ... + 140025614.

It is an arithmetic number, because the mean of its divisors is an integer number (14415310).

Almost surely, 2^4060742400 is an apocalyptic number.

4060742400 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 4060742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341120880).

4060742400 is an abundant number, since it is smaller than the sum of its proper divisors (14621499360).

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

4060742400 is a wasteful number, since it uses less digits than its factorization.

4060742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4060742400 is about 63723.9546795395. The cubic root of 4060742400 is about 1595.3959309670.

The spelling of 4060742400 in words is "four billion, sixty million, seven hundred forty-two thousand, four hundred".