40430405456001 has 144 divisors (see below), whose sum is σ = 67716545262912. Its totient is φ = 23202106456320.

The previous prime is 40430405455997. The next prime is 40430405456047. The reversal of 40430405456001 is 10065450403404.

40430405456001 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 0 + 4 + 0 + 5 + 45 + 600 + 1 = 666.

It is not a de Polignac number, because 40430405456001 - 2² = 40430405455997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40430405456801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223979155 + ... + 224159591.

It is an arithmetic number, because the mean of its divisors is an integer number (470253786548).

Almost surely, 2^{40430405456001} is an apocalyptic number.

It is an amenable number.

40430405456001 is a deficient number, since it is larger than the sum of its proper divisors (27286139806911).

40430405456001 is a wasteful number, since it uses less digits than its factorization.

40430405456001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180652 (or 180638 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40430405456001 its reverse (10065450403404), we get a palindrome (50495855859405).

The spelling of 40430405456001 in words is "forty trillion, four hundred thirty billion, four hundred five million, four hundred fifty-six thousand, one".