4040265600 has 576 divisors, whose sum is σ = 16853460000. Its totient is φ = 921231360.

The previous prime is 4040265571. The next prime is 4040265623. The reversal of 4040265600 is 65620404.

It is a happy number.

4040265600 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4040265600² = 32647492237086720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9878196 + ... + 9878604.

Almost surely, 2^4040265600 is an apocalyptic number.

4040265600 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 4040265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426730000).

4040265600 is an abundant number, since it is smaller than the sum of its proper divisors (12813194400).

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

4040265600 is a wasteful number, since it uses less digits than its factorization.

4040265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4040265600 is about 63563.0836256392. The cubic root of 4040265600 is about 1592.7097497745.

The spelling of 4040265600 in words is "four billion, forty million, two hundred sixty-five thousand, six hundred".