4344791040 has 360 divisors, whose sum is σ = 15457635648. Its totient is φ = 1128529920.

The previous prime is 4344791039. The next prime is 4344791089. The reversal of 4344791040 is 401974434.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 4344790986 and 4344791004.

It is a congruent number.

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, 52346839 + ... + 52346921.

Almost surely, 2^4344791040 is an apocalyptic number.

4344791040 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 4344791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728817824).

4344791040 is an abundant number, since it is smaller than the sum of its proper divisors (11112844608).

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

4344791040 is an equidigital number, since it uses as much as digits as its factorization.

4344791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4344791040 is about 65915.0289387784. The cubic root of 4344791040 is about 1631.7600569966.

The spelling of 4344791040 in words is "four billion, three hundred forty-four million, seven hundred ninety-one thousand, forty".