40605378739200 has 3168 divisors, whose sum is σ = 173426092519680. Its totient is φ = 8971223040000.

The previous prime is 40605378739183. The next prime is 40605378739207. The reversal of 40605378739200 is 293787350604.

40605378739200 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 537 + 87 + 3 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40605378739207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 258632985522 + ... + 258632985678.

It is an arithmetic number, because the mean of its divisors is an integer number (54743084760).

Almost surely, 2^{40605378739200} is an apocalyptic number.

40605378739200 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 40605378739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713046259840).

40605378739200 is an abundant number, since it is smaller than the sum of its proper divisors (132820713780480).

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

40605378739200 is a wasteful number, since it uses less digits than its factorization.

40605378739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 40605378739200 in words is "forty trillion, six hundred five billion, three hundred seventy-eight million, seven hundred thirty-nine thousand, two hundred".