40540040214400 has 96 divisors (see below), whose sum is σ = 100182395204280. Its totient is φ = 16210214860800.

The previous prime is 40540040214383. The next prime is 40540040214439. The reversal of 40540040214400 is 441204004504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6685695 + ... + 11215105.

Almost surely, 2^{40540040214400} is an apocalyptic number.

40540040214400 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 40540040214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50091197602140).

40540040214400 is an abundant number, since it is smaller than the sum of its proper divisors (59642354989880).

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

40540040214400 is a wasteful number, since it uses less digits than its factorization.

40540040214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532232 (or 4532215 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 40540040214400 its reverse (441204004504), we get a palindrome (40981244218904).

The spelling of 40540040214400 in words is "forty trillion, five hundred forty billion, forty million, two hundred fourteen thousand, four hundred".