4047770440 has 192 divisors, whose sum is σ = 11010384000. Its totient is φ = 1338664320.

The previous prime is 4047770423. The next prime is 4047770449. The reversal of 4047770440 is 440777404.

It is a super-3 number, since 3×4047770440³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4047770440.

It is not an unprimeable number, because it can be changed into a prime (4047770449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13184767 + ... + 13185073.

It is an arithmetic number, because the mean of its divisors is an integer number (57345750).

Almost surely, 2^4047770440 is an apocalyptic number.

4047770440 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 4047770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505192000).

4047770440 is an abundant number, since it is smaller than the sum of its proper divisors (6962613560).

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

4047770440 is a wasteful number, since it uses less digits than its factorization.

4047770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 37.

The square root of 4047770440 is about 63622.0908175769. The cubic root of 4047770440 is about 1593.6952987197.

The spelling of 4047770440 in words is "four billion, forty-seven million, seven hundred seventy thousand, four hundred forty".