40266111110400 has 1944 divisors, whose sum is σ = 179469087243264. Its totient is φ = 8557078118400.

The previous prime is 40266111110321. The next prime is 40266111110413. The reversal of 40266111110400 is 401111166204.

40266111110400 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 611 + 1 + 1 + 1 + 0 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3982401345 + ... + 3982411455.

Almost surely, 2^{40266111110400} is an apocalyptic number.

40266111110400 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 40266111110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89734543621632).

40266111110400 is an abundant number, since it is smaller than the sum of its proper divisors (139202976132864).

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

40266111110400 is a wasteful number, since it uses less digits than its factorization.

40266111110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 40266111110400 its reverse (401111166204), we get a palindrome (40667222276604).

The spelling of 40266111110400 in words is "forty trillion, two hundred sixty-six billion, one hundred eleven million, one hundred ten thousand, four hundred".