11454042400 has 72 divisors (see below), whose sum is σ = 29607050340. Its totient is φ = 4312104960.

The previous prime is 11454042377. The next prime is 11454042473. The reversal of 11454042400 is 424045411.

It can be written as a sum of positive squares in 6 ways, for example, as 2031845776 + 9422196624 = 45076^2 + 97068^2 .

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 11 ways as a sum of consecutive naturals, for example, 407505 + ... + 434704.

Almost surely, 2^11454042400 is an apocalyptic number.

11454042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11454042400 is an abundant number, since it is smaller than the sum of its proper divisors (18153007940).

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

11454042400 is a wasteful number, since it uses less digits than its factorization.

11454042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842246 (or 842233 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 11454042400 its reverse (424045411), we get a palindrome (11878087811).

The spelling of 11454042400 in words is "eleven billion, four hundred fifty-four million, forty-two thousand, four hundred".