4070787840 has 720 divisors, whose sum is σ = 17095034880. Its totient is φ = 905748480.

The previous prime is 4070787817. The next prime is 4070787857. The reversal of 4070787840 is 487870704.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51528921 + ... + 51528999.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 2^4070787840 is an apocalyptic number.

4070787840 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 4070787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547517440).

4070787840 is an abundant number, since it is smaller than the sum of its proper divisors (13024247040).

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

4070787840 is an equidigital number, since it uses as much as digits as its factorization.

4070787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4070787840 is about 63802.7259605732. The cubic root of 4070787840 is about 1596.7104079168.

The spelling of 4070787840 in words is "four billion, seventy million, seven hundred eighty-seven thousand, eight hundred forty".