4240012400 has 120 divisors (see below), whose sum is σ = 11150890464. Its totient is φ = 1539763200.

The previous prime is 4240012369. The next prime is 4240012409. The reversal of 4240012400 is 42100424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240012409) 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, 310517 + ... + 323883.

Almost surely, 2^4240012400 is an apocalyptic number.

4240012400 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 4240012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575445232).

4240012400 is an abundant number, since it is smaller than the sum of its proper divisors (6910878064).

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

4240012400 is a wasteful number, since it uses less digits than its factorization.

4240012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13459 (or 13448 counting only the distinct ones).

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

The square root of 4240012400 is about 65115.3776000723. The cubic root of 4240012400 is about 1618.5360447284.

Adding to 4240012400 its reverse (42100424), we get a palindrome (4282112824).

The spelling of 4240012400 in words is "four billion, two hundred forty million, twelve thousand, four hundred".