40230314124000 has 2304 divisors, whose sum is σ = 178832564951040. Its totient is φ = 7677296640000.

The previous prime is 40230314123999. The next prime is 40230314124019. The reversal of 40230314124000 is 42141303204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37633595466 + ... + 37633596534.

It is an arithmetic number, because the mean of its divisors is an integer number (77618300760).

Almost surely, 2^{40230314124000} is an apocalyptic number.

40230314124000 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 40230314124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89416282475520).

40230314124000 is an abundant number, since it is smaller than the sum of its proper divisors (138602250827040).

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

40230314124000 is a wasteful number, since it uses less digits than its factorization.

40230314124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40230314124000 its reverse (42141303204), we get a palindrome (40272455427204).

The spelling of 40230314124000 in words is "forty trillion, two hundred thirty billion, three hundred fourteen million, one hundred twenty-four thousand".