40433050657152 has 768 divisors, whose sum is σ = 126909554803200. Its totient is φ = 12321913798656.

The previous prime is 40433050657151. The next prime is 40433050657171. The reversal of 40433050657152 is 25175605033404.

40433050657152 is a `hidden beast` number, since 4 + 0 + 43 + 3 + 0 + 506 + 57 + 1 + 52 = 666.

It is a super-2 number, since 2×40433050657152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40433050657098 and 40433050657107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40433050657151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14221965043 + ... + 14221967885.

It is an arithmetic number, because the mean of its divisors is an integer number (165246816150).

Almost surely, 2^{40433050657152} 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 40433050657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454777401600).

40433050657152 is an abundant number, since it is smaller than the sum of its proper divisors (86476504146048).

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

40433050657152 is a wasteful number, since it uses less digits than its factorization.

40433050657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 40433050657152 in words is "forty trillion, four hundred thirty-three billion, fifty million, six hundred fifty-seven thousand, one hundred fifty-two".