40013400 has 144 divisors (see below), whose sum is σ = 144399240. Its totient is φ = 9139200.

The previous prime is 40013371. The next prime is 40013419. The reversal of 40013400 is 431004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28720 + ... + 30080.

Almost surely, 2^40013400 is an apocalyptic number.

40013400 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 40013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72199620).

40013400 is an abundant number, since it is smaller than the sum of its proper divisors (104385840).

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

40013400 is a wasteful number, since it uses less digits than its factorization.

40013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40013400 is about 6325.6145946461. The cubic root of 40013400 is about 342.0333745345.

Adding to 40013400 its reverse (431004), we get a palindrome (40444404).

The spelling of 40013400 in words is "forty million, thirteen thousand, four hundred".