2430142001400 has 192 divisors, whose sum is σ = 7970197910400. Its totient is φ = 610813647360.

The previous prime is 2430142001389. The next prime is 2430142001411. The reversal of 2430142001400 is 41002410342.

It is an interprime number because it is at equal distance from previous prime (2430142001389) and next prime (2430142001411).

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, 1704759 + ... + 2786841.

It is an arithmetic number, because the mean of its divisors is an integer number (41511447450).

Almost surely, 2^{2430142001400} is an apocalyptic number.

2430142001400 is a gapful number since it is divisible by the number (20) 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 2430142001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985098955200).

2430142001400 is an abundant number, since it is smaller than the sum of its proper divisors (5540055909000).

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

2430142001400 is a wasteful number, since it uses less digits than its factorization.

2430142001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082318 (or 1082309 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2430142001400 its reverse (41002410342), we get a palindrome (2471144411742).

The spelling of 2430142001400 in words is "two trillion, four hundred thirty billion, one hundred forty-two million, one thousand, four hundred".