41392640 has 160 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 14598144.

The previous prime is 41392627. The next prime is 41392651. The reversal of 41392640 is 4629314.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118702 + ... + 1118738.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^41392640 is an apocalyptic number.

41392640 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 41392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

41392640 is an abundant number, since it is smaller than the sum of its proper divisors (70564480).

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

41392640 is a wasteful number, since it uses less digits than its factorization.

41392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 41392640 is about 6433.7112151541. The cubic root of 41392640 is about 345.9189670684.

The spelling of 41392640 in words is "forty-one million, three hundred ninety-two thousand, six hundred forty".