40145976 has 192 divisors, whose sum is σ = 131695200. Its totient is φ = 11225088.

The previous prime is 40145969. The next prime is 40145977. The reversal of 40145976 is 67954104.

It is a super-2 number, since 2×40145976² = 3223398777985152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40145976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40145977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384330 + ... + 1384358.

Almost surely, 2^40145976 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 40145976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65847600).

40145976 is an abundant number, since it is smaller than the sum of its proper divisors (91549224).

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

40145976 is a wasteful number, since it uses less digits than its factorization.

40145976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40145976 is about 6336.0852266995. The cubic root of 40145976 is about 342.4107100254.

The spelling of 40145976 in words is "forty million, one hundred forty-five thousand, nine hundred seventy-six".