1145135330400 has 72 divisors (see below), whose sum is σ = 3727415508264. Its totient is φ = 305369420800.

The previous prime is 1145135330387. The next prime is 1145135330407. The reversal of 1145135330400 is 40335315411.

It is a super-2 number, since 2×1145135330400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145135330407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238567461 + ... + 238572260.

It is an arithmetic number, because the mean of its divisors is an integer number (51769659837).

Almost surely, 2^{1145135330400} is an apocalyptic number.

1145135330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145135330400 is an abundant number, since it is smaller than the sum of its proper divisors (2582280177864).

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

1145135330400 is a wasteful number, since it uses less digits than its factorization.

1145135330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477139744 (or 477139731 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1145135330400 in words is "one trillion, one hundred forty-five billion, one hundred thirty-five million, three hundred thirty thousand, four hundred".