40948320 has 144 divisors (see below), whose sum is σ = 150132528. Its totient is φ = 9354240.

The previous prime is 40948309. The next prime is 40948321. The reversal of 40948320 is 2384904.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40948321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22650 + ... + 24390.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 2^40948320 is an apocalyptic number.

40948320 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 40948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75066264).

40948320 is an abundant number, since it is smaller than the sum of its proper divisors (109184208).

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

40948320 is a wasteful number, since it uses less digits than its factorization.

40948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40948320 is about 6399.0874349395. The cubic root of 40948320 is about 344.6767819293.

The spelling of 40948320 in words is "forty million, nine hundred forty-eight thousand, three hundred twenty".