4004562240 has 504 divisors, whose sum is σ = 16632094752. Its totient is φ = 914457600.

The previous prime is 4004562239. The next prime is 4004562271. The reversal of 4004562240 is 422654004.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3809715 + ... + 3810765.

It is an arithmetic number, because the mean of its divisors is an integer number (33000188).

Almost surely, 2^4004562240 is an apocalyptic number.

4004562240 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 4004562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316047376).

4004562240 is an abundant number, since it is smaller than the sum of its proper divisors (12627532512).

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

4004562240 is a wasteful number, since it uses less digits than its factorization.

4004562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4004562240 is about 63281.6105989726. The cubic root of 4004562240 is about 1588.0043313821.

The spelling of 4004562240 in words is "four billion, four million, five hundred sixty-two thousand, two hundred forty".