40012411353420 has 192 divisors, whose sum is σ = 123851897035776. Its totient is φ = 9571121464320.

The previous prime is 40012411353379. The next prime is 40012411353449. The reversal of 40012411353420 is 2435311421004.

It is a super-3 number, since 3×40012411353420³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17768022 + ... + 19892898.

It is an arithmetic number, because the mean of its divisors is an integer number (645061963728).

Almost surely, 2^{40012411353420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40012411353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61925948517888).

40012411353420 is an abundant number, since it is smaller than the sum of its proper divisors (83839485682356).

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

40012411353420 is a wasteful number, since it uses less digits than its factorization.

40012411353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125280 (or 2125278 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 40012411353420 its reverse (2435311421004), we get a palindrome (42447722774424).

The spelling of 40012411353420 in words is "forty trillion, twelve billion, four hundred eleven million, three hundred fifty-three thousand, four hundred twenty".