4087765440 has 560 divisors, whose sum is σ = 16198047360. Its totient is φ = 974177280.

The previous prime is 4087765411. The next prime is 4087765453. The reversal of 4087765440 is 445677804.

4087765440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69284131 + ... + 69284189.

Almost surely, 2^4087765440 is an apocalyptic number.

4087765440 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 4087765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099023680).

4087765440 is an abundant number, since it is smaller than the sum of its proper divisors (12110281920).

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

4087765440 is an frugal number, since it uses more digits than its factorization.

4087765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4087765440 is about 63935.6351340940. The cubic root of 4087765440 is about 1598.9270723439.

The spelling of 4087765440 in words is "four billion, eighty-seven million, seven hundred sixty-five thousand, four hundred forty".