40508960 has 96 divisors (see below), whose sum is σ = 103611312. Its totient is φ = 14909440.

The previous prime is 40508959. The next prime is 40508989. The reversal of 40508960 is 6980504.

It can be written as a sum of positive squares in 8 ways, for example, as 31047184 + 9461776 = 5572^2 + 3076^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144020 + ... + 144300.

Almost surely, 2^40508960 is an apocalyptic number.

40508960 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 40508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51805656).

40508960 is an abundant number, since it is smaller than the sum of its proper divisors (63102352).

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

40508960 is a wasteful number, since it uses less digits than its factorization.

40508960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 40508960 is about 6364.6649558323. The cubic root of 40508960 is about 343.4395959347.

The spelling of 40508960 in words is "forty million, five hundred eight thousand, nine hundred sixty".