40466450534400 has 4992 divisors, whose sum is σ = 185759990599680. Its totient is φ = 8512339968000.

The previous prime is 40466450534369. The next prime is 40466450534401. The reversal of 40466450534400 is 443505466404.

40466450534400 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 64 + 50 + 534 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40466450534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 487547596759 + ... + 487547596841.

Almost surely, 2^{40466450534400} is an apocalyptic number.

40466450534400 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 40466450534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92879995299840).

40466450534400 is an abundant number, since it is smaller than the sum of its proper divisors (145293540065280).

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

40466450534400 is a wasteful number, since it uses less digits than its factorization.

40466450534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 40466450534400 in words is "forty trillion, four hundred sixty-six billion, four hundred fifty million, five hundred thirty-four thousand, four hundred".