41928344640 has 672 divisors, whose sum is σ = 178802507520. Its totient is φ = 8781447168.

The previous prime is 41928344617. The next prime is 41928344683. The reversal of 41928344640 is 4644382914.

41928344640 is a `hidden beast` number, since 4 + 1 + 92 + 83 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41146051 + ... + 41147069.

It is an arithmetic number, because the mean of its divisors is an integer number (266075160).

Almost surely, 2^41928344640 is an apocalyptic number.

41928344640 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 41928344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89401253760).

41928344640 is an abundant number, since it is smaller than the sum of its proper divisors (136874162880).

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

41928344640 is a wasteful number, since it uses less digits than its factorization.

41928344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 41928344640 in words is "forty-one billion, nine hundred twenty-eight million, three hundred forty-four thousand, six hundred forty".