40169952 has 96 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12680064.

The previous prime is 40169951. The next prime is 40169977. The reversal of 40169952 is 25996104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40169952² = 3227250087364608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40169951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15193 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^40169952 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 40169952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

40169952 is an abundant number, since it is smaller than the sum of its proper divisors (83209248).

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

40169952 is a wasteful number, since it uses less digits than its factorization.

40169952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 40169952 is about 6337.9769643002. The cubic root of 40169952 is about 342.4788613590.

The spelling of 40169952 in words is "forty million, one hundred sixty-nine thousand, nine hundred fifty-two".