1409441040 has 480 divisors, whose sum is σ = 5792129280. Its totient is φ = 308551680.

The previous prime is 1409441039. The next prime is 1409441041. The reversal of 1409441040 is 401449041.

It is an interprime number because it is at equal distance from previous prime (1409441039) and next prime (1409441041).

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

It is a junction number, because it is equal to n+sod(n) for n = 1409440995 and 1409441013.

It is not an unprimeable number, because it can be changed into a prime (1409441041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14530272 + ... + 14530368.

It is an arithmetic number, because the mean of its divisors is an integer number (12066936).

Almost surely, 2^1409441040 is an apocalyptic number.

1409441040 is a gapful number since it is divisible by the number (10) 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 1409441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896064640).

1409441040 is an abundant number, since it is smaller than the sum of its proper divisors (4382688240).

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

1409441040 is a wasteful number, since it uses less digits than its factorization.

1409441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1409441040 is about 37542.5230904903. The cubic root of 1409441040 is about 1121.1979741187.

The spelling of 1409441040 in words is "one billion, four hundred nine million, four hundred forty-one thousand, forty".