4000786465 has 16 divisors (see below), whose sum is σ = 5177986128. Its totient is φ = 2950004736.

The previous prime is 4000786423. The next prime is 4000786469. The reversal of 4000786465 is 5646870004.

4000786465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 998623201 + 3002163264 = 31601^2 + 54792^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000786465 - 2¹³ = 4000778273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000786469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 89473.

It is an arithmetic number, because the mean of its divisors is an integer number (323624133).

Almost surely, 2^4000786465 is an apocalyptic number.

It is an amenable number.

4000786465 is a deficient number, since it is larger than the sum of its proper divisors (1177199663).

4000786465 is a wasteful number, since it uses less digits than its factorization.

4000786465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92148.

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 4000786465 is about 63251.7704495297. The cubic root of 4000786465 is about 1587.5050814312.

The spelling of 4000786465 in words is "four billion, seven hundred eighty-six thousand, four hundred sixty-five".