40438214690400 has 720 divisors, whose sum is σ = 161182102435200. Its totient is φ = 9821797171200.

The previous prime is 40438214690399. The next prime is 40438214690413. The reversal of 40438214690400 is 409641283404.

40438214690400 is a `hidden beast` number, since 4 + 0 + 4 + 382 + 146 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33557526 + ... + 34741674.

It is an arithmetic number, because the mean of its divisors is an integer number (223864031160).

Almost surely, 2^{40438214690400} is an apocalyptic number.

40438214690400 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 40438214690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80591051217600).

40438214690400 is an abundant number, since it is smaller than the sum of its proper divisors (120743887744800).

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

40438214690400 is a wasteful number, since it uses less digits than its factorization.

40438214690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184229 (or 1184207 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40438214690400 in words is "forty trillion, four hundred thirty-eight billion, two hundred fourteen million, six hundred ninety thousand, four hundred".