40279680 has 384 divisors, whose sum is σ = 169303680. Its totient is φ = 8957952.

The previous prime is 40279669. The next prime is 40279697. The reversal of 40279680 is 8697204.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 1088622 + ... + 1088658.

It is an arithmetic number, because the mean of its divisors is an integer number (440895).

Almost surely, 2^40279680 is an apocalyptic number.

40279680 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 40279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

40279680 is an abundant number, since it is smaller than the sum of its proper divisors (129024000).

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

40279680 is an equidigital number, since it uses as much as digits as its factorization.

40279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40279680 is about 6346.6274508592. The cubic root of 40279680 is about 342.7904155857.

The spelling of 40279680 in words is "forty million, two hundred seventy-nine thousand, six hundred eighty".