4811040 has 144 divisors (see below), whose sum is σ = 17749368. Its totient is φ = 1179648.

The previous prime is 4810987. The next prime is 4811057. The reversal of 4811040 is 401184.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 501264 = 2076^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4811040² = 46292211763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18592 + ... + 18848.

Almost surely, 2^4811040 is an apocalyptic number.

4811040 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 4811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874684).

4811040 is an abundant number, since it is smaller than the sum of its proper divisors (12938328).

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

4811040 is a wasteful number, since it uses less digits than its factorization.

4811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4811040 is about 2193.4083067227. The cubic root of 4811040 is about 168.8157603787.

It can be divided in two parts, 481 and 1040, that added together give a square (1521 = 39²).

The spelling of 4811040 in words is "four million, eight hundred eleven thousand, forty".