40845306240000 has 2640 divisors, whose sum is σ = 168154304398080. Its totient is φ = 9853747200000.

The previous prime is 40845306239953. The next prime is 40845306240061. The reversal of 40845306240000 is 4260354804.

40845306240000 is a `hidden beast` number, since 4 + 0 + 84 + 530 + 6 + 2 + 40 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×40845306240000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67962239700 + ... + 67962240300.

It is an arithmetic number, because the mean of its divisors is an integer number (63694812272).

Almost surely, 2^{40845306240000} is an apocalyptic number.

40845306240000 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 40845306240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84077152199040).

40845306240000 is an abundant number, since it is smaller than the sum of its proper divisors (127308998158080).

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

40845306240000 is an equidigital number, since it uses as much as digits as its factorization.

40845306240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40845306240000 its reverse (4260354804), we get a palindrome (40849566594804).

The spelling of 40845306240000 in words is "forty trillion, eight hundred forty-five billion, three hundred six million, two hundred forty thousand".