4296695040 has 432 divisors, whose sum is σ = 16633221696. Its totient is φ = 1014988800.

The previous prime is 4296695027. The next prime is 4296695111. The reversal of 4296695040 is 405966924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5195107 + ... + 5195933.

It is an arithmetic number, because the mean of its divisors is an integer number (38502828).

Almost surely, 2^4296695040 is an apocalyptic number.

4296695040 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 4296695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316610848).

4296695040 is an abundant number, since it is smaller than the sum of its proper divisors (12336526656).

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

4296695040 is a wasteful number, since it uses less digits than its factorization.

4296695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4296695040 is about 65549.1803152412. The cubic root of 4296695040 is about 1625.7166120596.

The spelling of 4296695040 in words is "four billion, two hundred ninety-six million, six hundred ninety-five thousand, forty".