4040974080 has 648 divisors, whose sum is σ = 16624293504. Its totient is φ = 900218880.

The previous prime is 4040974079. The next prime is 4040974081. The reversal of 4040974080 is 804790404.

It is an interprime number because it is at equal distance from previous prime (4040974079) and next prime (4040974081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040974081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18120849 + ... + 18121071.

Almost surely, 2^4040974080 is an apocalyptic number.

4040974080 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 4040974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312146752).

4040974080 is an abundant number, since it is smaller than the sum of its proper divisors (12583319424).

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

4040974080 is a wasteful number, since it uses less digits than its factorization.

4040974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4040974080 is about 63568.6564275194. The cubic root of 4040974080 is about 1592.8028407711.

The spelling of 4040974080 in words is "four billion, forty million, nine hundred seventy-four thousand, eighty".