1145203424400 has 120 divisors (see below), whose sum is σ = 4192535233984. Its totient is φ = 261760780800.

The previous prime is 1145203424381. The next prime is 1145203424437. The reversal of 1145203424400 is 44243025411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1145203424400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68158471 + ... + 68175270.

Almost surely, 2^{1145203424400} is an apocalyptic number.

1145203424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145203424400 is an abundant number, since it is smaller than the sum of its proper divisors (3047331809584).

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

1145203424400 is a wasteful number, since it uses less digits than its factorization.

1145203424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136333769 (or 136333758 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1145203424400 its reverse (44243025411), we get a palindrome (1189446449811).

The spelling of 1145203424400 in words is "one trillion, one hundred forty-five billion, two hundred three million, four hundred twenty-four thousand, four hundred".