1434130112400 has 120 divisors (see below), whose sum is σ = 4596005625504. Its totient is φ = 382267468800.

The previous prime is 1434130112369. The next prime is 1434130112407. The reversal of 1434130112400 is 42110314341.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1434130112407) 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, 2496255 + ... + 3016545.

Almost surely, 2^{1434130112400} is an apocalyptic number.

1434130112400 is a gapful number since it is divisible by the number (10) 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 1434130112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298002812752).

1434130112400 is an abundant number, since it is smaller than the sum of its proper divisors (3161875513104).

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

1434130112400 is a wasteful number, since it uses less digits than its factorization.

1434130112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522609 (or 522598 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1434130112400 its reverse (42110314341), we get a palindrome (1476240426741).

The spelling of 1434130112400 in words is "one trillion, four hundred thirty-four billion, one hundred thirty million, one hundred twelve thousand, four hundred".