1238214470400 has 324 divisors, whose sum is σ = 4590861074072. Its totient is φ = 330190110720.

The previous prime is 1238214470393. The next prime is 1238214470413. The reversal of 1238214470400 is 40744128321.

1238214470400 is a `hidden beast` number, since 1 + 2 + 38 + 214 + 4 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1157112 + ... + 1953288.

Almost surely, 2^{1238214470400} is an apocalyptic number.

1238214470400 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 1238214470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295430537036).

1238214470400 is an abundant number, since it is smaller than the sum of its proper divisors (3352646603672).

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

1238214470400 is an frugal number, since it uses more digits than its factorization.

1238214470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796218 (or 796187 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 1238214470400 its reverse (40744128321), we get a palindrome (1278958598721).

The spelling of 1238214470400 in words is "one trillion, two hundred thirty-eight billion, two hundred fourteen million, four hundred seventy thousand, four hundred".