40354400000 has 216 divisors, whose sum is σ = 102209426928. Its totient is φ = 15897600000.

The previous prime is 40354399997. The next prime is 40354400069. The reversal of 40354400000 is 445304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58399655 + ... + 58400345.

Almost surely, 2^40354400000 is an apocalyptic number.

40354400000 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 40354400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51104713464).

40354400000 is an abundant number, since it is smaller than the sum of its proper divisors (61855026928).

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

40354400000 is an frugal number, since it uses more digits than its factorization.

40354400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 40354400000 its reverse (445304), we get a palindrome (40354845304).

The spelling of 40354400000 in words is "forty billion, three hundred fifty-four million, four hundred thousand".