4270405440 has 448 divisors, whose sum is σ = 16985894400. Its totient is φ = 886308864.

The previous prime is 4270405421. The next prime is 4270405453. The reversal of 4270405440 is 445040724.

4270405440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4270405398 and 4270405407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3312316 + ... + 3313604.

Almost surely, 2^4270405440 is an apocalyptic number.

4270405440 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 4270405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492947200).

4270405440 is an abundant number, since it is smaller than the sum of its proper divisors (12715488960).

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

4270405440 is a wasteful number, since it uses less digits than its factorization.

4270405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 4270405440 is about 65348.3392290883. The cubic root of 4270405440 is about 1622.3941433134.

The spelling of 4270405440 in words is "four billion, two hundred seventy million, four hundred five thousand, four hundred forty".