40694400 has 240 divisors, whose sum is σ = 151127790. Its totient is φ = 10782720.

The previous prime is 40694389. The next prime is 40694419. The reversal of 40694400 is 449604.

It can be written as a sum of positive squares in 3 ways, for example, as 26132544 + 14561856 = 5112^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 259122 + ... + 259278.

Almost surely, 2^40694400 is an apocalyptic number.

40694400 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 40694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75563895).

40694400 is an abundant number, since it is smaller than the sum of its proper divisors (110433390).

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

40694400 is a wasteful number, since it uses less digits than its factorization.

40694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40694400 is about 6379.2162528010. The cubic root of 40694400 is about 343.9628587988.

The spelling of 40694400 in words is "forty million, six hundred ninety-four thousand, four hundred".