4240400472 has 288 divisors, whose sum is σ = 14898723840. Its totient is φ = 1065398400.

The previous prime is 4240400467. The next prime is 4240400473. The reversal of 4240400472 is 2740040424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240400473) 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, 1889383 + ... + 1891625.

It is an arithmetic number, because the mean of its divisors is an integer number (51731680).

Almost surely, 2^4240400472 is an apocalyptic number.

4240400472 is a gapful number since it is divisible by the number (42) 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 4240400472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7449361920).

4240400472 is an abundant number, since it is smaller than the sum of its proper divisors (10658323368).

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

4240400472 is a wasteful number, since it uses less digits than its factorization.

4240400472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4240400472 is about 65118.3574117161. The cubic root of 4240400472 is about 1618.5854226782.

Adding to 4240400472 its reverse (2740040424), we get a palindrome (6980440896).

The spelling of 4240400472 in words is "four billion, two hundred forty million, four hundred thousand, four hundred seventy-two".