1200073190400 has 2376 divisors, whose sum is σ = 5392817504256. Its totient is φ = 263363788800.

The previous prime is 1200073190389. The next prime is 1200073190413. The reversal of 1200073190400 is 40913700021.

1200073190400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 73 + 190 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9449395137 + ... + 9449395263.

Almost surely, 2^{1200073190400} is an apocalyptic number.

1200073190400 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 1200073190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696408752128).

1200073190400 is an abundant number, since it is smaller than the sum of its proper divisors (4192744313856).

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

1200073190400 is a wasteful number, since it uses less digits than its factorization.

1200073190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1200073190400 its reverse (40913700021), we get a palindrome (1240986890421).

The spelling of 1200073190400 in words is "one trillion, two hundred billion, seventy-three million, one hundred ninety thousand, four hundred".