4015242400 has 144 divisors (see below), whose sum is σ = 10607930424. Its totient is φ = 1475297280.

The previous prime is 4015242391. The next prime is 4015242401. The reversal of 4015242400 is 42425104.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 152868496 + 3862373904 = 12364^2 + 62148^2 .

It is a super-2 number, since 2×4015242400² = 32244343061515520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4015242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2422372 + ... + 2424028.

Almost surely, 2^4015242400 is an apocalyptic number.

4015242400 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 4015242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303965212).

4015242400 is an abundant number, since it is smaller than the sum of its proper divisors (6592688024).

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

4015242400 is a wasteful number, since it uses less digits than its factorization.

4015242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4015242400 is about 63365.9403780927. The cubic root of 4015242400 is about 1589.4148130670.

Adding to 4015242400 its reverse (42425104), we get a palindrome (4057667504).

The spelling of 4015242400 in words is "four billion, fifteen million, two hundred forty-two thousand, four hundred".