40068480 has 128 divisors (see below), whose sum is σ = 131090400. Its totient is φ = 10403840.

The previous prime is 40068467. The next prime is 40068481. The reversal of 40068480 is 8486004.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40068481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78466 + ... + 78974.

Almost surely, 2^40068480 is an apocalyptic number.

40068480 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 40068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545200).

40068480 is an abundant number, since it is smaller than the sum of its proper divisors (91021920).

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

40068480 is a wasteful number, since it uses less digits than its factorization.

40068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40068480 is about 6329.9668245576. The cubic root of 40068480 is about 342.1902433216.

The spelling of 40068480 in words is "forty million, sixty-eight thousand, four hundred eighty".