40538906140320 has 1152 divisors, whose sum is σ = 166591057231872. Its totient is φ = 9118324224000.

The previous prime is 40538906140301. The next prime is 40538906140367. The reversal of 40538906140320 is 2304160983504.

40538906140320 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 8 + 9 + 0 + 614 + 0 + 3 + 20 = 666.

40538906140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40538906140320² (a number of 28 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 4590518305 + ... + 4590527135.

It is an arithmetic number, because the mean of its divisors is an integer number (144610292736).

Almost surely, 2^{40538906140320} is an apocalyptic number.

40538906140320 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 40538906140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83295528615936).

40538906140320 is an abundant number, since it is smaller than the sum of its proper divisors (126052151091552).

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

40538906140320 is a wasteful number, since it uses less digits than its factorization.

40538906140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40538906140320 in words is "forty trillion, five hundred thirty-eight billion, nine hundred six million, one hundred forty thousand, three hundred twenty".