1145435200000 has 480 divisors, whose sum is σ = 3521196379008. Its totient is φ = 362465280000.

The previous prime is 1145435199967. The next prime is 1145435200069. The reversal of 1145435200000 is 25345411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145596067 + ... + 145603933.

Almost surely, 2^{1145435200000} is an apocalyptic number.

1145435200000 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 1145435200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760598189504).

1145435200000 is an abundant number, since it is smaller than the sum of its proper divisors (2375761179008).

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

1145435200000 is an frugal number, since it uses more digits than its factorization.

1145435200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7894 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1145435200000 in words is "one trillion, one hundred forty-five billion, four hundred thirty-five million, two hundred thousand".