41264160 has 96 divisors (see below), whose sum is σ = 148563072. Its totient is φ = 9431040.

The previous prime is 41264147. The next prime is 41264173. The reversal of 41264160 is 6146214.

It is an interprime number because it is at equal distance from previous prime (41264147) and next prime (41264173).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41264160.

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, 2781 + ... + 9500.

It is an arithmetic number, because the mean of its divisors is an integer number (1547532).

Almost surely, 2^41264160 is an apocalyptic number.

41264160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41264160 is an abundant number, since it is smaller than the sum of its proper divisors (107298912).

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

41264160 is a wasteful number, since it uses less digits than its factorization.

41264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41264160 is about 6423.7185492517. The cubic root of 41264160 is about 345.5606929747.

The spelling of 41264160 in words is "forty-one million, two hundred sixty-four thousand, one hundred sixty".