40312242033000 has 192 divisors, whose sum is σ = 146308758148800. Its totient is φ = 9214226716800.

The previous prime is 40312242032929. The next prime is 40312242033029. The reversal of 40312242033000 is 33024221304.

It is a super-3 number, since 3×40312242033000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136969470 + ... + 137263469.

It is an arithmetic number, because the mean of its divisors is an integer number (762024782025).

Almost surely, 2^{40312242033000} is an apocalyptic number.

40312242033000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40312242033000 is an abundant number, since it is smaller than the sum of its proper divisors (105996516115800).

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

40312242033000 is a wasteful number, since it uses less digits than its factorization.

40312242033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274232977 (or 274232956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40312242033000 its reverse (33024221304), we get a palindrome (40345266254304).

The spelling of 40312242033000 in words is "forty trillion, three hundred twelve billion, two hundred forty-two million, thirty-three thousand".