4040749440 has 576 divisors, whose sum is σ = 17296662240. Its totient is φ = 851116032.

The previous prime is 4040749439. The next prime is 4040749441. The reversal of 4040749440 is 449470404.

It is an interprime number because it is at equal distance from previous prime (4040749439) and next prime (4040749441).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4040749395 and 4040749404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040749441) 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, 6813784 + ... + 6814376.

Almost surely, 2^4040749440 is an apocalyptic number.

4040749440 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 4040749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648331120).

4040749440 is an abundant number, since it is smaller than the sum of its proper divisors (13255912800).

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

4040749440 is a wasteful number, since it uses less digits than its factorization.

4040749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4040749440 is about 63566.8894944530. The cubic root of 4040749440 is about 1592.7733252917.

The spelling of 4040749440 in words is "four billion, forty million, seven hundred forty-nine thousand, four hundred forty".