40403640000000 has 640 divisors, whose sum is σ = 140406390558720. Its totient is φ = 10305152000000.

The previous prime is 40403639999951. The next prime is 40403640000007. The reversal of 40403640000000 is 4630404.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40403640000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2759992681 + ... + 2760007319.

It is an arithmetic number, because the mean of its divisors is an integer number (219384985248).

Almost surely, 2^{40403640000000} is an apocalyptic number.

40403640000000 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 40403640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70203195279360).

40403640000000 is an abundant number, since it is smaller than the sum of its proper divisors (100002750558720).

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

40403640000000 is an frugal number, since it uses more digits than its factorization.

40403640000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14718 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 40403640000000 its reverse (4630404), we get a palindrome (40403644630404).

The spelling of 40403640000000 in words is "forty trillion, four hundred three billion, six hundred forty million", and thus it is an aban number.