40040326207200 has 576 divisors, whose sum is σ = 142735529341440. Its totient is φ = 9668865024000.

The previous prime is 40040326207181. The next prime is 40040326207249. The reversal of 40040326207200 is 270262304004.

40040326207200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8413598421 + ... + 8413603179.

It is an arithmetic number, because the mean of its divisors is an integer number (247804738440).

Almost surely, 2^{40040326207200} is an apocalyptic number.

40040326207200 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 40040326207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71367764670720).

40040326207200 is an abundant number, since it is smaller than the sum of its proper divisors (102695203134240).

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

40040326207200 is a wasteful number, since it uses less digits than its factorization.

40040326207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 40040326207200 in words is "forty trillion, forty billion, three hundred twenty-six million, two hundred seven thousand, two hundred".