1414430412400 has 120 divisors (see below), whose sum is σ = 3406166478000. Its totient is φ = 564442368000.

The previous prime is 1414430412391. The next prime is 1414430412431. The reversal of 1414430412400 is 42140344141.

It is a super-2 number, since 2×1414430412400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476398116 + ... + 476401084.

It is an arithmetic number, because the mean of its divisors is an integer number (28384720650).

Almost surely, 2^{1414430412400} is an apocalyptic number.

1414430412400 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 1414430412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703083239000).

1414430412400 is an abundant number, since it is smaller than the sum of its proper divisors (1991736065600).

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

1414430412400 is a wasteful number, since it uses less digits than its factorization.

1414430412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1414430412400 its reverse (42140344141), we get a palindrome (1456570756541).

The spelling of 1414430412400 in words is "one trillion, four hundred fourteen billion, four hundred thirty million, four hundred twelve thousand, four hundred".