40343063451264 has 1152 divisors, whose sum is σ = 142611515766720. Its totient is φ = 11316700200960.

The previous prime is 40343063451233. The next prime is 40343063451269. The reversal of 40343063451264 is 46215436034304.

It is a happy number.

40343063451264 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 3 + 0 + 634 + 5 + 1 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (40343063451269) 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, 47074752724 + ... + 47074753580.

Almost surely, 2^{40343063451264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343063451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71305757883360).

40343063451264 is an abundant number, since it is smaller than the sum of its proper divisors (102268452315456).

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

40343063451264 is an equidigital number, since it uses as much as digits as its factorization.

40343063451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 40343063451264 its reverse (46215436034304), we get a palindrome (86558499485568).

The spelling of 40343063451264 in words is "forty trillion, three hundred forty-three billion, sixty-three million, four hundred fifty-one thousand, two hundred sixty-four".