4010048400 has 360 divisors, whose sum is σ = 14123532544. Its totient is φ = 971366400.

The previous prime is 4010048389. The next prime is 4010048407. The reversal of 4010048400 is 48400104.

4010048400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4010048400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010048407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10750614 + ... + 10750986.

Almost surely, 2^4010048400 is an apocalyptic number.

4010048400 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 4010048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061766272).

4010048400 is an abundant number, since it is smaller than the sum of its proper divisors (10113484144).

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

4010048400 is a wasteful number, since it uses less digits than its factorization.

4010048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4010048400 is about 63324.9429529944. The cubic root of 4010048400 is about 1588.7291771880.

Adding to 4010048400 its reverse (48400104), we get a palindrome (4058448504).

The spelling of 4010048400 in words is "four billion, ten million, forty-eight thousand, four hundred".