4234140024400 has 240 divisors, whose sum is σ = 11969341413120. Its totient is φ = 1419060787200.

The previous prime is 4234140024391. The next prime is 4234140024409. The reversal of 4234140024400 is 44200414324.

It is an interprime number because it is at equal distance from previous prime (4234140024391) and next prime (4234140024409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234140024409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37294921 + ... + 37408279.

It is an arithmetic number, because the mean of its divisors is an integer number (49872255888).

Almost surely, 2^{4234140024400} is an apocalyptic number.

4234140024400 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 4234140024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984670706560).

4234140024400 is an abundant number, since it is smaller than the sum of its proper divisors (7735201388720).

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

4234140024400 is a wasteful number, since it uses less digits than its factorization.

4234140024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114054 (or 114043 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4234140024400 its reverse (44200414324), we get a palindrome (4278340438724).

The spelling of 4234140024400 in words is "four trillion, two hundred thirty-four billion, one hundred forty million, twenty-four thousand, four hundred".