145414214400 has 432 divisors, whose sum is σ = 590649807104. Its totient is φ = 30680432640.

The previous prime is 145414214399. The next prime is 145414214447. The reversal of 145414214400 is 4412414541.

It is a super-2 number, since 2×145414214400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705587 + ... + 1788813.

Almost surely, 2^145414214400 is an apocalyptic number.

145414214400 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 145414214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295324903552).

145414214400 is an abundant number, since it is smaller than the sum of its proper divisors (445235592704).

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

145414214400 is a wasteful number, since it uses less digits than its factorization.

145414214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83276 (or 83257 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 145414214400 its reverse (4412414541), we get a palindrome (149826628941).

The spelling of 145414214400 in words is "one hundred forty-five billion, four hundred fourteen million, two hundred fourteen thousand, four hundred".