1164015441 has 64 divisors (see below), whose sum is σ = 1852439040. Its totient is φ = 729793152.

The previous prime is 1164015409. The next prime is 1164015491. The reversal of 1164015441 is 1445104611.

1164015441 is a `hidden beast` number, since 1 + 1 + 640 + 15 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 1164015441 - 2⁵ = 1164015409 is a prime.

It is a super-3 number, since 3×1164015441³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1164015401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671815 + ... + 3672131.

It is an arithmetic number, because the mean of its divisors is an integer number (28944360).

Almost surely, 2^1164015441 is an apocalyptic number.

It is an amenable number.

1164015441 is a deficient number, since it is larger than the sum of its proper divisors (688423599).

1164015441 is an frugal number, since it uses more digits than its factorization.

1164015441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1164015441 is about 34117.6705095761. The cubic root of 1164015441 is about 1051.9285617154.

The spelling of 1164015441 in words is "one billion, one hundred sixty-four million, fifteen thousand, four hundred forty-one".