4127782400 has 240 divisors, whose sum is σ = 12202147584. Its totient is φ = 1353031680.

The previous prime is 4127782397. The next prime is 4127782403. The reversal of 4127782400 is 42877214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4127782397) and next prime (4127782403).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127782403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059799 + ... + 2061801.

Almost surely, 2^4127782400 is an apocalyptic number.

4127782400 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 4127782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101073792).

4127782400 is an abundant number, since it is smaller than the sum of its proper divisors (8074365184).

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

4127782400 is a wasteful number, since it uses less digits than its factorization.

4127782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 4127782400 is about 64247.8201964860. The cubic root of 4127782400 is about 1604.1276756101.

The spelling of 4127782400 in words is "four billion, one hundred twenty-seven million, seven hundred eighty-two thousand, four hundred".