40345200 has 180 divisors, whose sum is σ = 160110288. Its totient is φ = 9216000.

The previous prime is 40345187. The next prime is 40345219. The reversal of 40345200 is 254304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24400 + ... + 26000.

Almost surely, 2^40345200 is an apocalyptic number.

40345200 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 40345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80055144).

40345200 is an abundant number, since it is smaller than the sum of its proper divisors (119765088).

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

40345200 is a wasteful number, since it uses less digits than its factorization.

40345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40345200 is about 6351.7871500862. The cubic root of 40345200 is about 342.9761789054.

Adding to 40345200 its reverse (254304), we get a palindrome (40599504).

The spelling of 40345200 in words is "forty million, three hundred forty-five thousand, two hundred".