40519440 has 300 divisors, whose sum is σ = 156506724. Its totient is φ = 9704448.

The previous prime is 40519429. The next prime is 40519441. The reversal of 40519440 is 4491504.

It can be written as a sum of positive squares in 6 ways, for example, as 2178576 + 38340864 = 1476^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40519441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1095102 + ... + 1095138.

Almost surely, 2^40519440 is an apocalyptic number.

40519440 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 40519440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78253362).

40519440 is an abundant number, since it is smaller than the sum of its proper divisors (115987284).

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

40519440 is a wasteful number, since it uses less digits than its factorization.

40519440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40519440 is about 6365.4881980882. The cubic root of 40519440 is about 343.4692102606.

The spelling of 40519440 in words is "forty million, five hundred nineteen thousand, four hundred forty".