4040782416 has 240 divisors, whose sum is σ = 13307064960. Its totient is φ = 1170892800.

The previous prime is 4040782409. The next prime is 4040782433. The reversal of 4040782416 is 6142870404.

4040782416 is a `hidden beast` number, since 4 + 0 + 407 + 8 + 241 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200576 + ... + 1203936.

It is an arithmetic number, because the mean of its divisors is an integer number (55446104).

Almost surely, 2^4040782416 is an apocalyptic number.

4040782416 is a gapful number since it is divisible by the number (46) 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 4040782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653532480).

4040782416 is an abundant number, since it is smaller than the sum of its proper divisors (9266282544).

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

4040782416 is a wasteful number, since it uses less digits than its factorization.

4040782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4040782416 is about 63567.1488742416. The cubic root of 4040782416 is about 1592.7776580813. Note that the first 3 decimals are identical.

The spelling of 4040782416 in words is "four billion, forty million, seven hundred eighty-two thousand, four hundred sixteen".