40364268436800 has 1008 divisors, whose sum is σ = 179076832396800. Its totient is φ = 8377418649600.

The previous prime is 40364268436787. The next prime is 40364268436801. The reversal of 40364268436800 is 863486246304.

40364268436800 is a `hidden beast` number, since 4 + 0 + 36 + 42 + 68 + 436 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40364268436801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 952438011 + ... + 952480389.

Almost surely, 2^{40364268436800} is an apocalyptic number.

40364268436800 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 40364268436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89538416198400).

40364268436800 is an abundant number, since it is smaller than the sum of its proper divisors (138712563960000).

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

40364268436800 is a wasteful number, since it uses less digits than its factorization.

40364268436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43284 (or 43266 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 40364268436800 in words is "forty trillion, three hundred sixty-four billion, two hundred sixty-eight million, four hundred thirty-six thousand, eight hundred".