40320412004250 has 960 divisors, whose sum is σ = 133692662847744. Its totient is φ = 8882672544000.

The previous prime is 40320412004207. The next prime is 40320412004251. The reversal of 40320412004250 is 5240021402304.

40320412004250 is a `hidden beast` number, since 4 + 0 + 3 + 204 + 1 + 200 + 4 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40320412004251) 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, 47268946824 + ... + 47268947676.

Almost surely, 2^{40320412004250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320412004250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66846331423872).

40320412004250 is an abundant number, since it is smaller than the sum of its proper divisors (93372250843494).

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

40320412004250 is a wasteful number, since it uses less digits than its factorization.

40320412004250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40320412004250 its reverse (5240021402304), we get a palindrome (45560433406554).

The spelling of 40320412004250 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, two hundred fifty".