40013400000 has 504 divisors, whose sum is σ = 154045109232. Its totient is φ = 9139200000.

The previous prime is 40013399971. The next prime is 40013400013. The reversal of 40013400000 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29399320 + ... + 29400680.

It is an arithmetic number, because the mean of its divisors is an integer number (305645058).

Almost surely, 2^40013400000 is an apocalyptic number.

40013400000 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 40013400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77022554616).

40013400000 is an abundant number, since it is smaller than the sum of its proper divisors (114031709232).

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

40013400000 is an equidigital number, since it uses as much as digits as its factorization.

40013400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1378 counting only the distinct ones).

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

Adding to 40013400000 its reverse (431004), we get a palindrome (40013831004).

The spelling of 40013400000 in words is "forty billion, thirteen million, four hundred thousand".