1430421110400 has 768 divisors, whose sum is σ = 5128511040000. Its totient is φ = 349260595200.

The previous prime is 1430421110383. The next prime is 1430421110401. The reversal of 1430421110400 is 40111240341.

It is a super-2 number, since 2×1430421110400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1430421110401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656456511 + ... + 656458689.

It is an arithmetic number, because the mean of its divisors is an integer number (6677748750).

Almost surely, 2^{1430421110400} is an apocalyptic number.

1430421110400 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 1430421110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564255520000).

1430421110400 is an abundant number, since it is smaller than the sum of its proper divisors (3698089929600).

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

1430421110400 is a wasteful number, since it uses less digits than its factorization.

1430421110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1430421110400 its reverse (40111240341), we get a palindrome (1470532350741).

The spelling of 1430421110400 in words is "one trillion, four hundred thirty billion, four hundred twenty-one million, one hundred ten thousand, four hundred".