2013400440 has 192 divisors, whose sum is σ = 6959908800. Its totient is φ = 503033856.

The previous prime is 2013400421. The next prime is 2013400507. The reversal of 2013400440 is 440043102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645669 + ... + 1646891.

It is an arithmetic number, because the mean of its divisors is an integer number (36249525).

Almost surely, 2^2013400440 is an apocalyptic number.

2013400440 is a gapful number since it is divisible by the number (20) 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 2013400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479954400).

2013400440 is an abundant number, since it is smaller than the sum of its proper divisors (4946508360).

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

2013400440 is a wasteful number, since it uses less digits than its factorization.

2013400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013400440 is about 44870.9309018656. The cubic root of 2013400440 is about 1262.7287046378.

Adding to 2013400440 its reverse (440043102), we get a palindrome (2453443542).

The spelling of 2013400440 in words is "two billion, thirteen million, four hundred thousand, four hundred forty".