4235293440 has 864 divisors, whose sum is σ = 18203209920. Its totient is φ = 928972800.

The previous prime is 4235293421. The next prime is 4235293459. The reversal of 4235293440 is 443925324.

It is an interprime number because it is at equal distance from previous prime (4235293421) and next prime (4235293459).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4235293395 and 4235293404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69431010 + ... + 69431070.

It is an arithmetic number, because the mean of its divisors is an integer number (21068530).

Almost surely, 2^4235293440 is an apocalyptic number.

4235293440 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 4235293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9101604960).

4235293440 is an abundant number, since it is smaller than the sum of its proper divisors (13967916480).

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

4235293440 is a wasteful number, since it uses less digits than its factorization.

4235293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4235293440 is about 65079.1321392657. The cubic root of 4235293440 is about 1617.9353670724.

The spelling of 4235293440 in words is "four billion, two hundred thirty-five million, two hundred ninety-three thousand, four hundred forty".