4040767400 has 96 divisors (see below), whose sum is σ = 9981827640. Its totient is φ = 1515970560.

The previous prime is 4040767337. The next prime is 4040767433. The reversal of 4040767400 is 47670404.

It can be written as a sum of positive squares in 12 ways, for example, as 329277316 + 3711490084 = 18146^2 + 60922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062302 + ... + 1066098.

Almost surely, 2^4040767400 is an apocalyptic number.

4040767400 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 4040767400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990913820).

4040767400 is an abundant number, since it is smaller than the sum of its proper divisors (5941060240).

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

4040767400 is a wasteful number, since it uses less digits than its factorization.

4040767400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 4040767400 is about 63567.0307628097. The cubic root of 4040767400 is about 1592.7756850988.

The spelling of 4040767400 in words is "four billion, forty million, seven hundred sixty-seven thousand, four hundred".