40123413000 has 192 divisors, whose sum is σ = 147946331520. Its totient is φ = 9726864000.

The previous prime is 40123412993. The next prime is 40123413013. The reversal of 40123413000 is 31432104.

40123413000 is a `hidden beast` number, since 401 + 234 + 1 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 103644 + ... + 301643.

It is an arithmetic number, because the mean of its divisors is an integer number (770553810).

Almost surely, 2^40123413000 is an apocalyptic number.

40123413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40123413000 is an abundant number, since it is smaller than the sum of its proper divisors (107822918520).

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

40123413000 is a wasteful number, since it uses less digits than its factorization.

40123413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405325 (or 405308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40123413000 its reverse (31432104), we get a palindrome (40154845104).

The spelling of 40123413000 in words is "forty billion, one hundred twenty-three million, four hundred thirteen thousand".