40387514683230 has 384 divisors, whose sum is σ = 124098863616000. Its totient is φ = 8984111431680.

The previous prime is 40387514683213. The next prime is 40387514683253. The reversal of 40387514683230 is 3238641578304.

It is a happy number.

40387514683230 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 7 + 514 + 68 + 32 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3723375667 + ... + 3723386513.

It is an arithmetic number, because the mean of its divisors is an integer number (323174124000).

Almost surely, 2^{40387514683230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40387514683230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62049431808000).

40387514683230 is an abundant number, since it is smaller than the sum of its proper divisors (83711348932770).

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

40387514683230 is a wasteful number, since it uses less digits than its factorization.

40387514683230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12573 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 40387514683230 in words is "forty trillion, three hundred eighty-seven billion, five hundred fourteen million, six hundred eighty-three thousand, two hundred thirty".