1190003270400 has 1512 divisors, whose sum is σ = 5119466499840. Its totient is φ = 268111503360.

The previous prime is 1190003270383. The next prime is 1190003270411. The reversal of 1190003270400 is 40723000911.

1190003270400 is a `hidden beast` number, since 1 + 190 + 0 + 0 + 3 + 2 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×1190003270400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2710713381 + ... + 2710713819.

Almost surely, 2^{1190003270400} is an apocalyptic number.

1190003270400 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 1190003270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559733249920).

1190003270400 is an abundant number, since it is smaller than the sum of its proper divisors (3929463229440).

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

1190003270400 is an frugal number, since it uses more digits than its factorization.

1190003270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 539 counting only the distinct ones).

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

The spelling of 1190003270400 in words is "one trillion, one hundred ninety billion, three million, two hundred seventy thousand, four hundred".