4784001440 has 24 divisors (see below), whose sum is σ = 11302203780. Its totient is φ = 1913600512.

The previous prime is 4784001427. The next prime is 4784001457. The reversal of 4784001440 is 441004874.

It can be written as a sum of positive squares in 2 ways, for example, as 3840528784 + 943472656 = 61972^2 + 30716^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4784001397 and 4784001406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14949845 + ... + 14950164.

Almost surely, 2^4784001440 is an apocalyptic number.

4784001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4784001440 is an abundant number, since it is smaller than the sum of its proper divisors (6518202340).

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

4784001440 is a wasteful number, since it uses less digits than its factorization.

4784001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29900024 (or 29900016 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 4784001440 is about 69166.4762728303. The cubic root of 4784001440 is about 1684.9891184392.

The spelling of 4784001440 in words is "four billion, seven hundred eighty-four million, one thousand, four hundred forty".