40246636220400 has 240 divisors, whose sum is σ = 135715636659200. Its totient is φ = 10167061524480.

The previous prime is 40246636220389. The next prime is 40246636220431. The reversal of 40246636220400 is 402263664204.

40246636220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692338536 + ... + 692396664.

Almost surely, 2^{40246636220400} is an apocalyptic number.

40246636220400 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 40246636220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67857818329600).

40246636220400 is an abundant number, since it is smaller than the sum of its proper divisors (95469000438800).

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

40246636220400 is a wasteful number, since it uses less digits than its factorization.

40246636220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88536 (or 88525 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 40246636220400 its reverse (402263664204), we get a palindrome (40648899884604).

The spelling of 40246636220400 in words is "forty trillion, two hundred forty-six billion, six hundred thirty-six million, two hundred twenty thousand, four hundred".