40644334205400 has 192 divisors, whose sum is σ = 128775907814400. Its totient is φ = 10599830901760.

The previous prime is 40644334205399. The next prime is 40644334205417. The reversal of 40644334205400 is 450243344604.

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, 36649444 + ... + 37742156.

It is an arithmetic number, because the mean of its divisors is an integer number (670707853200).

Almost surely, 2^{40644334205400} is an apocalyptic number.

40644334205400 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 40644334205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64387953907200).

40644334205400 is an abundant number, since it is smaller than the sum of its proper divisors (88131573609000).

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

40644334205400 is a wasteful number, since it uses less digits than its factorization.

40644334205400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094098 (or 1094089 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

The spelling of 40644334205400 in words is "forty trillion, six hundred forty-four billion, three hundred thirty-four million, two hundred five thousand, four hundred".