4010242400 has 36 divisors (see below), whose sum is σ = 9790006212. Its totient is φ = 1604096640.

The previous prime is 4010242399. The next prime is 4010242427. The reversal of 4010242400 is 42420104.

4010242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505602 + ... + 2507201.

It is an arithmetic number, because the mean of its divisors is an integer number (271944617).

Almost surely, 2^4010242400 is an apocalyptic number.

4010242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4010242400 is an abundant number, since it is smaller than the sum of its proper divisors (5779763812).

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

4010242400 is a wasteful number, since it uses less digits than its factorization.

4010242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012823 (or 5012810 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4010242400 is about 63326.4747163459. The cubic root of 4010242400 is about 1588.7547968697.

Adding to 4010242400 its reverse (42420104), we get a palindrome (4052662504).

The spelling of 4010242400 in words is "four billion, ten million, two hundred forty-two thousand, four hundred".