4340142002400 has 288 divisors, whose sum is σ = 14566856911488. Its totient is φ = 1121598720000.

The previous prime is 4340142002389. The next prime is 4340142002419. The reversal of 4340142002400 is 42002410434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22191439 + ... + 22386161.

It is an arithmetic number, because the mean of its divisors is an integer number (50579364276).

Almost surely, 2^{4340142002400} is an apocalyptic number.

4340142002400 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 4340142002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283428455744).

4340142002400 is an abundant number, since it is smaller than the sum of its proper divisors (10226714909088).

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

4340142002400 is a wasteful number, since it uses less digits than its factorization.

4340142002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195034 (or 195021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4340142002400 its reverse (42002410434), we get a palindrome (4382144412834).

The spelling of 4340142002400 in words is "four trillion, three hundred forty billion, one hundred forty-two million, two thousand, four hundred".