40165373952 has 576 divisors, whose sum is σ = 137617159680. Its totient is φ = 11147673600.

The previous prime is 40165373917. The next prime is 40165373957. The reversal of 40165373952 is 25937356104.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40165373952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40165373898 and 40165373907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40165373957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148211577 + ... + 148211847.

It is an arithmetic number, because the mean of its divisors is an integer number (238918680).

Almost surely, 2^40165373952 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 40165373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808579840).

40165373952 is an abundant number, since it is smaller than the sum of its proper divisors (97451785728).

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

40165373952 is a wasteful number, since it uses less digits than its factorization.

40165373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 40165373952 in words is "forty billion, one hundred sixty-five million, three hundred seventy-three thousand, nine hundred fifty-two".