4078791360 has 336 divisors, whose sum is σ = 16364712000. Its totient is φ = 932069376.

The previous prime is 4078791347. The next prime is 4078791377. The reversal of 4078791360 is 631978704.

4078791360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 985776 + ... + 989904.

It is an arithmetic number, because the mean of its divisors is an integer number (48704500).

Almost surely, 2^4078791360 is an apocalyptic number.

4078791360 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 4078791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182356000).

4078791360 is an abundant number, since it is smaller than the sum of its proper divisors (12285920640).

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

4078791360 is a wasteful number, since it uses less digits than its factorization.

4078791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4078791360 is about 63865.4159933215. The cubic root of 4078791360 is about 1597.7561463382.

The spelling of 4078791360 in words is "four billion, seventy-eight million, seven hundred ninety-one thousand, three hundred sixty".