4070319840 has 288 divisors, whose sum is σ = 15095808000. Its totient is φ = 994913280.

The previous prime is 4070319823. The next prime is 4070319857. The reversal of 4070319840 is 489130704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4070319823) and next prime (4070319857).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4070319795 and 4070319804.

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, 845761 + ... + 850559.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 2^4070319840 is an apocalyptic number.

4070319840 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 4070319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

4070319840 is an abundant number, since it is smaller than the sum of its proper divisors (11025488160).

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

4070319840 is a wasteful number, since it uses less digits than its factorization.

4070319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4070319840 is about 63799.0583002602. The cubic root of 4070319840 is about 1596.6492167225.

The spelling of 4070319840 in words is "four billion, seventy million, three hundred nineteen thousand, eight hundred forty".