40523101416072 has 192 divisors, whose sum is σ = 121522737024000. Its totient is φ = 12096610944000.

The previous prime is 40523101416071. The next prime is 40523101416103. The reversal of 40523101416072 is 27061410132504.

40523101416072 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 3 + 1 + 0 + 1 + 41 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40523101416071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17892697 + ... + 20029847.

It is an arithmetic number, because the mean of its divisors is an integer number (632930922000).

Almost surely, 2^{40523101416072} 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 40523101416072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60761368512000).

40523101416072 is an abundant number, since it is smaller than the sum of its proper divisors (80999635607928).

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

40523101416072 is a wasteful number, since it uses less digits than its factorization.

40523101416072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137532 (or 2137525 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 40523101416072 its reverse (27061410132504), we get a palindrome (67584511548576).

The spelling of 40523101416072 in words is "forty trillion, five hundred twenty-three billion, one hundred one million, four hundred sixteen thousand, seventy-two".