4062781440 has 336 divisors, whose sum is σ = 14353080768. Its totient is φ = 1062862848.

The previous prime is 4062781423. The next prime is 4062781441. The reversal of 4062781440 is 441872604.

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 = 4062781395 and 4062781404.

It is not an unprimeable number, because it can be changed into a prime (4062781441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37969867 + ... + 37969973.

Almost surely, 2^4062781440 is an apocalyptic number.

4062781440 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 4062781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176540384).

4062781440 is an abundant number, since it is smaller than the sum of its proper divisors (10290299328).

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

4062781440 is a wasteful number, since it uses less digits than its factorization.

4062781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

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

The square root of 4062781440 is about 63739.9516786764. The cubic root of 4062781440 is about 1595.6629208797.

The spelling of 4062781440 in words is "four billion, sixty-two million, seven hundred eighty-one thousand, four hundred forty".