40733199490464 has 216 divisors, whose sum is σ = 125454180147660. Its totient is φ = 12530959773696.

The previous prime is 40733199490447. The next prime is 40733199490537. The reversal of 40733199490464 is 46409499133704.

40733199490464 is a `hidden beast` number, since 4 + 0 + 73 + 3 + 19 + 9 + 4 + 90 + 464 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7628135800464 + 33105063690000 = 2761908^2 + 5753700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 271173972 + ... + 271324140.

Almost surely, 2^{40733199490464} 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 40733199490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727090073830).

40733199490464 is an abundant number, since it is smaller than the sum of its proper divisors (84720980657196).

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

40733199490464 is a wasteful number, since it uses less digits than its factorization.

40733199490464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155784 (or 155760 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 40733199490464 in words is "forty trillion, seven hundred thirty-three billion, one hundred ninety-nine million, four hundred ninety thousand, four hundred sixty-four".