1231435214400 has 168 divisors, whose sum is σ = 4042627505280. Its totient is φ = 328180029440.

The previous prime is 1231435214371. The next prime is 1231435214437. The reversal of 1231435214400 is 44125341321.

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

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, 7779241 + ... + 7935959.

It is an arithmetic number, because the mean of its divisors is an integer number (24063258960).

Almost surely, 2^{1231435214400} is an apocalyptic number.

1231435214400 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 1231435214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021313752640).

1231435214400 is an abundant number, since it is smaller than the sum of its proper divisors (2811192290880).

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

1231435214400 is a wasteful number, since it uses less digits than its factorization.

1231435214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158381 (or 158366 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1231435214400 in words is "one trillion, two hundred thirty-one billion, four hundred thirty-five million, two hundred fourteen thousand, four hundred".