40012105133000 has 512 divisors, whose sum is σ = 127587253248000. Its totient is φ = 11340134784000.

The previous prime is 40012105132973. The next prime is 40012105133027. The reversal of 40012105133000 is 33150121004.

It is an interprime number because it is at equal distance from previous prime (40012105132973) and next prime (40012105133027).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66768701 + ... + 67365299.

It is an arithmetic number, because the mean of its divisors is an integer number (249193854000).

Almost surely, 2^{40012105133000} is an apocalyptic number.

40012105133000 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 40012105133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63793626624000).

40012105133000 is an abundant number, since it is smaller than the sum of its proper divisors (87575148115000).

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

40012105133000 is a wasteful number, since it uses less digits than its factorization.

40012105133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596718 (or 596704 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 40012105133000 its reverse (33150121004), we get a palindrome (40045255254004).

The spelling of 40012105133000 in words is "forty trillion, twelve billion, one hundred five million, one hundred thirty-three thousand".