4007630144 has 56 divisors (see below), whose sum is σ = 9144658368. Its totient is φ = 1706987520.

The previous prime is 4007630129. The next prime is 4007630189. The reversal of 4007630144 is 4410367004.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×4007630144² = 32122198742194921472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45584 + ... + 100464.

Almost surely, 2^4007630144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572329184).

4007630144 is an abundant number, since it is smaller than the sum of its proper divisors (5137028224).

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

4007630144 is a wasteful number, since it uses less digits than its factorization.

4007630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55063 (or 55053 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 4007630144 is about 63305.8460491604. The cubic root of 4007630144 is about 1588.4097524134.

Adding to 4007630144 its reverse (4410367004), we get a palindrome (8417997148).

The spelling of 4007630144 in words is "four billion, seven million, six hundred thirty thousand, one hundred forty-four".