40616142336000 has 6240 divisors, whose sum is σ = 203050575636480. Its totient is φ = 7970586624000.

The previous prime is 40616142335987. The next prime is 40616142336019. The reversal of 40616142336000 is 63324161604.

40616142336000 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 6 + 1 + 42 + 3 + 3 + 600 + 0 = 666.

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

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 514128383961 + ... + 514128384039.

It is an arithmetic number, because the mean of its divisors is an integer number (32540156352).

Almost surely, 2^{40616142336000} is an apocalyptic number.

40616142336000 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 40616142336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101525287818240).

40616142336000 is an abundant number, since it is smaller than the sum of its proper divisors (162434433300480).

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

40616142336000 is a wasteful number, since it uses less digits than its factorization.

40616142336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 40616142336000 its reverse (63324161604), we get a palindrome (40679466497604).

The spelling of 40616142336000 in words is "forty trillion, six hundred sixteen billion, one hundred forty-two million, three hundred thirty-six thousand".