40007360 has 112 divisors (see below), whose sum is σ = 101925120. Its totient is φ = 14929920.

The previous prime is 40007353. The next prime is 40007371. The reversal of 40007360 is 6370004.

40007360 = T₁₆₀ + T₁₆₁ + ... + T₆₂₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 366986 + ... + 367094.

Almost surely, 2^40007360 is an apocalyptic number.

40007360 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 40007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50962560).

40007360 is an abundant number, since it is smaller than the sum of its proper divisors (61917760).

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

40007360 is a wasteful number, since it uses less digits than its factorization.

40007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 40007360 is about 6325.1371526632. The cubic root of 40007360 is about 342.0161637539.

Adding to 40007360 its reverse (6370004), we get a palindrome (46377364).

The spelling of 40007360 in words is "forty million, seven thousand, three hundred sixty".