1231385918400 has 1008 divisors, whose sum is σ = 5010542923776. Its totient is φ = 284083200000.

The previous prime is 1231385918359. The next prime is 1231385918429. The reversal of 1231385918400 is 48195831321.

1231385918400 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 8 + 591 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×1231385918400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 299532345 + ... + 299536455.

Almost surely, 2^{1231385918400} is an apocalyptic number.

1231385918400 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 1231385918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505271461888).

1231385918400 is an abundant number, since it is smaller than the sum of its proper divisors (3779157005376).

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

1231385918400 is a wasteful number, since it uses less digits than its factorization.

1231385918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1231385918400 in words is "one trillion, two hundred thirty-one billion, three hundred eighty-five million, nine hundred eighteen thousand, four hundred".