11445460400 has 120 divisors (see below), whose sum is σ = 30965541888. Its totient is φ = 4027680000.

The previous prime is 11445460361. The next prime is 11445460427. The reversal of 11445460400 is 406454411.

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, 94445 + ... + 178355.

Almost surely, 2^11445460400 is an apocalyptic number.

11445460400 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 11445460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482770944).

11445460400 is an abundant number, since it is smaller than the sum of its proper divisors (19520081488).

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

11445460400 is a wasteful number, since it uses less digits than its factorization.

11445460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83971 (or 83960 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 11445460400 in words is "eleven billion, four hundred forty-five million, four hundred sixty thousand, four hundred".