41027269920 has 768 divisors, whose sum is σ = 168422768640. Its totient is φ = 8161689600.

The previous prime is 41027269909. The next prime is 41027269937. The reversal of 41027269920 is 2996272014.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55516911 + ... + 55517649.

It is an arithmetic number, because the mean of its divisors is an integer number (219300480).

Almost surely, 2^41027269920 is an apocalyptic number.

41027269920 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 41027269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84211384320).

41027269920 is an abundant number, since it is smaller than the sum of its proper divisors (127395498720).

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

41027269920 is a wasteful number, since it uses less digits than its factorization.

41027269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 41027269920 in words is "forty-one billion, twenty-seven million, two hundred sixty-nine thousand, nine hundred twenty".