40050960 has 80 divisors (see below), whose sum is σ = 125378880. Its totient is φ = 10575360.

The previous prime is 40050949. The next prime is 40050961. The reversal of 40050960 is 6905004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40050960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40050961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25395 + ... + 26925.

It is an arithmetic number, because the mean of its divisors is an integer number (1567236).

Almost surely, 2^40050960 is an apocalyptic number.

40050960 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 40050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62689440).

40050960 is an abundant number, since it is smaller than the sum of its proper divisors (85327920).

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

40050960 is a wasteful number, since it uses less digits than its factorization.

40050960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 40050960 is about 6328.5827797383. The cubic root of 40050960 is about 342.1403616600.

Adding to 40050960 its reverse (6905004), we get a palindrome (46955964).

It can be divided in two parts, 400 and 50960, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 40050960 in words is "forty million, fifty thousand, nine hundred sixty".