40676400 has 90 divisors (see below), whose sum is σ = 141170900. Its totient is φ = 10846080.

The previous prime is 40676341. The next prime is 40676401. The reversal of 40676400 is 467604.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (40676401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2050 + ... + 9249.

Almost surely, 2^40676400 is an apocalyptic number.

40676400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70585450).

40676400 is an abundant number, since it is smaller than the sum of its proper divisors (100494500).

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

40676400 is a wasteful number, since it uses less digits than its factorization.

40676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40676400 is about 6377.8052651363. The cubic root of 40676400 is about 343.9121372864.

The spelling of 40676400 in words is "forty million, six hundred seventy-six thousand, four hundred".