40364603161344 has 1296 divisors, whose sum is σ = 153331704892800. Its totient is φ = 10435720458240.

The previous prime is 40364603161331. The next prime is 40364603161367. The reversal of 40364603161344 is 44316130646304.

40364603161344 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 4 + 603 + 1 + 6 + 1 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40364603161344.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9302741127 + ... + 9302745465.

Almost surely, 2^{40364603161344} is an apocalyptic number.

40364603161344 is a gapful number since it is divisible by the number (44) 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 40364603161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76665852446400).

40364603161344 is an abundant number, since it is smaller than the sum of its proper divisors (112967101731456).

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

40364603161344 is a wasteful number, since it uses less digits than its factorization.

40364603161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 40364603161344 in words is "forty trillion, three hundred sixty-four billion, six hundred three million, one hundred sixty-one thousand, three hundred forty-four".