40946880 has 224 divisors, whose sum is σ = 149010624. Its totient is φ = 9437184.

The previous prime is 40946861. The next prime is 40946891. The reversal of 40946880 is 8864904.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212064 + ... + 212256.

It is an arithmetic number, because the mean of its divisors is an integer number (665226).

Almost surely, 2^40946880 is an apocalyptic number.

40946880 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 40946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74505312).

40946880 is an abundant number, since it is smaller than the sum of its proper divisors (108063744).

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

40946880 is a wasteful number, since it uses less digits than its factorization.

40946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 40946880 is about 6398.9749179068. The cubic root of 40946880 is about 344.6727415488.

The spelling of 40946880 in words is "forty million, nine hundred forty-six thousand, eight hundred eighty".