4040098560 has 432 divisors, whose sum is σ = 14999362560. Its totient is φ = 1040117760.

The previous prime is 4040098541. The next prime is 4040098609. The reversal of 4040098560 is 658900404.

4040098560 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 98 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642031 + ... + 9642449.

Almost surely, 2^4040098560 is an apocalyptic number.

4040098560 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 4040098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

4040098560 is an abundant number, since it is smaller than the sum of its proper divisors (10959264000).

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

4040098560 is an equidigital number, since it uses as much as digits as its factorization.

4040098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4040098560 is about 63561.7696418216. The cubic root of 4040098560 is about 1592.6877999054.

Adding to 4040098560 its reverse (658900404), we get a palindrome (4698998964).

The spelling of 4040098560 in words is "four billion, forty million, ninety-eight thousand, five hundred sixty".