40378800 has 480 divisors, whose sum is σ = 177131520. Its totient is φ = 7603200.

The previous prime is 40378799. The next prime is 40378801. The reversal of 40378800 is 887304.

It is an interprime number because it is at equal distance from previous prime (40378799) and next prime (40378801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40378801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755589 + ... + 1755611.

It is an arithmetic number, because the mean of its divisors is an integer number (369024).

Almost surely, 2^40378800 is an apocalyptic number.

40378800 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 40378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

40378800 is an abundant number, since it is smaller than the sum of its proper divisors (136752720).

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

40378800 is a wasteful number, since it uses less digits than its factorization.

40378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40378800 is about 6354.4315245347. The cubic root of 40378800 is about 343.0713641400.

The spelling of 40378800 in words is "forty million, three hundred seventy-eight thousand, eight hundred".