4007421600 has 576 divisors, whose sum is σ = 16378951680. Its totient is φ = 828518400.

The previous prime is 4007421581. The next prime is 4007421697. The reversal of 4007421600 is 61247004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12885445 + ... + 12885755.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^4007421600 is an apocalyptic number.

4007421600 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 4007421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

4007421600 is an abundant number, since it is smaller than the sum of its proper divisors (12371530080).

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

4007421600 is a wasteful number, since it uses less digits than its factorization.

4007421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4007421600 is about 63304.1989128683. The cubic root of 4007421600 is about 1588.3822000481.

Adding to 4007421600 its reverse (61247004), we get a palindrome (4068668604).

The spelling of 4007421600 in words is "four billion, seven million, four hundred twenty-one thousand, six hundred".