1230793250400 has 648 divisors, whose sum is σ = 5235698253240. Its totient is φ = 281321994240.

The previous prime is 1230793250389. The next prime is 1230793250429. The reversal of 1230793250400 is 40523970321.

1230793250400 is a `hidden beast` number, since 12 + 307 + 93 + 250 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 107 ways as a sum of consecutive naturals, for example, 9460996 + ... + 9590204.

It is an arithmetic number, because the mean of its divisors is an integer number (8079781255).

Almost surely, 2^{1230793250400} is an apocalyptic number.

1230793250400 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 1230793250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617849126620).

1230793250400 is an abundant number, since it is smaller than the sum of its proper divisors (4004905002840).

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

1230793250400 is a wasteful number, since it uses less digits than its factorization.

1230793250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129258 (or 129226 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1230793250400 in words is "one trillion, two hundred thirty billion, seven hundred ninety-three million, two hundred fifty thousand, four hundred".