40321800 has 240 divisors, whose sum is σ = 148539600. Its totient is φ = 10108800.

The previous prime is 40321789. The next prime is 40321811. The reversal of 40321800 is 812304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40321789) and next prime (40321811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307735 + ... + 307865.

It is an arithmetic number, because the mean of its divisors is an integer number (618915).

Almost surely, 2^40321800 is an apocalyptic number.

40321800 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 40321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74269800).

40321800 is an abundant number, since it is smaller than the sum of its proper divisors (108217800).

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

40321800 is a wasteful number, since it uses less digits than its factorization.

40321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40321800 is about 6349.9448816505. The cubic root of 40321800 is about 342.9098579659.

It can be divided in two parts, 4032 and 1800, that added together give a cube (5832 = 18³).

The spelling of 40321800 in words is "forty million, three hundred twenty-one thousand, eight hundred".