1012230014400 has 504 divisors, whose sum is σ = 3928244112000. Its totient is φ = 245171865600.

The previous prime is 1012230014371. The next prime is 1012230014407. The reversal of 1012230014400 is 44100322101.

1012230014400 is a `hidden beast` number, since 1 + 0 + 1 + 223 + 0 + 0 + 1 + 440 + 0 = 666.

1012230014400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012230014407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246943551 + ... + 246947649.

Almost surely, 2^{1012230014400} is an apocalyptic number.

1012230014400 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 1012230014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964122056000).

1012230014400 is an abundant number, since it is smaller than the sum of its proper divisors (2916014097600).

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

1012230014400 is a wasteful number, since it uses less digits than its factorization.

1012230014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5697 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1012230014400 its reverse (44100322101), we get a palindrome (1056330336501).

The spelling of 1012230014400 in words is "one trillion, twelve billion, two hundred thirty million, fourteen thousand, four hundred".