4387789440 has 320 divisors, whose sum is σ = 15975237960. Its totient is φ = 1147281408.

The previous prime is 4387789379. The next prime is 4387789451. The reversal of 4387789440 is 449877834.

4387789440 is a `hidden beast` number, since 43 + 87 + 7 + 89 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3342689856 + 1045099584 = 57816^2 + 32328^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2746722 + ... + 2748318.

Almost surely, 2^4387789440 is an apocalyptic number.

4387789440 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 4387789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987618980).

4387789440 is an abundant number, since it is smaller than the sum of its proper divisors (11587448520).

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

4387789440 is a wasteful number, since it uses less digits than its factorization.

4387789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 4387789440 is about 66240.3913031920. The cubic root of 4387789440 is about 1637.1253229746.

The spelling of 4387789440 in words is "four billion, three hundred eighty-seven million, seven hundred eighty-nine thousand, four hundred forty".