4000701360 has 80 divisors (see below), whose sum is σ = 12409071840. Its totient is φ = 1066260480.

The previous prime is 4000701349. The next prime is 4000701377. The reversal of 4000701360 is 631070004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4000701360² = 32011222743811699200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582426 + ... + 589254.

It is an arithmetic number, because the mean of its divisors is an integer number (155113398).

Almost surely, 2^4000701360 is an apocalyptic number.

4000701360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000701360 is an abundant number, since it is smaller than the sum of its proper divisors (8408370480).

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

4000701360 is a wasteful number, since it uses less digits than its factorization.

4000701360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 4000701360 is about 63251.0976979847. The cubic root of 4000701360 is about 1587.4938248463.

Adding to 4000701360 its reverse (631070004), we get a palindrome (4631771364).

The spelling of 4000701360 in words is "four billion, seven hundred one thousand, three hundred sixty".