40106976 has 96 divisors (see below), whose sum is σ = 129604608. Its totient is φ = 10575360.

The previous prime is 40106953. The next prime is 40106987. The reversal of 40106976 is 67960104.

40106976 = T₈₉₃ + T₈₉₄ + ... + T₉₈₃.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (1350048).

Almost surely, 2^40106976 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 40106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64802304).

40106976 is an abundant number, since it is smaller than the sum of its proper divisors (89497632).

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

40106976 is a wasteful number, since it uses less digits than its factorization.

40106976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 40106976 is about 6333.0068687788. The cubic root of 40106976 is about 342.2997952619.

The spelling of 40106976 in words is "forty million, one hundred six thousand, nine hundred seventy-six".