40242733133850 has 960 divisors, whose sum is σ = 126724264128000. Its totient is φ = 9401624432640.

The previous prime is 40242733133747. The next prime is 40242733133857. The reversal of 40242733133850 is 5833133724204.

40242733133850 is a `hidden beast` number, since 4 + 0 + 242 + 73 + 3 + 1 + 338 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40242733133796 and 40242733133805.

It is not an unprimeable number, because it can be changed into a prime (40242733133857) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 38362948126 + ... + 38362949174.

It is an arithmetic number, because the mean of its divisors is an integer number (132004441800).

Almost surely, 2^{40242733133850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40242733133850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63362132064000).

40242733133850 is an abundant number, since it is smaller than the sum of its proper divisors (86481530994150).

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

40242733133850 is a wasteful number, since it uses less digits than its factorization.

40242733133850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 40242733133850 in words is "forty trillion, two hundred forty-two billion, seven hundred thirty-three million, one hundred thirty-three thousand, eight hundred fifty".