40594190400 has 567 divisors, whose sum is σ = 152921611479. Its totient is φ = 10212618240.

The previous prime is 40594190389. The next prime is 40594190407. The reversal of 40594190400 is 409149504.

It is a happy number.

The square root of 40594190400 is 201480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 40372061184 = 14904^2 + 200928^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40594190407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 556084764 + ... + 556084836.

Almost surely, 2^40594190400 is an apocalyptic number.

40594190400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40594190400 is the 201480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40594190400

40594190400 is an abundant number, since it is smaller than the sum of its proper divisors (112327421079).

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

40594190400 is a wasteful number, since it uses less digits than its factorization.

40594190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 40594190400 by its sum of digits (36), we get a square (1461390854400 = 1208880²).

40594190400 divided by its sum of digits (36) gives a square (1127616400 = 33580²).

The spelling of 40594190400 in words is "forty billion, five hundred ninety-four million, one hundred ninety thousand, four hundred".