11451398999040 has 2112 divisors, whose sum is σ = 53493270405120. Its totient is φ = 2187492065280.

The previous prime is 11451398999039. The next prime is 11451398999083. The reversal of 11451398999040 is 4099989315411.

11451398999040 is a `hidden beast` number, since 1 + 1 + 451 + 3 + 9 + 8 + 99 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×11451398999040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18865566417 + ... + 18865567023.

Almost surely, 2^{11451398999040} is an apocalyptic number.

11451398999040 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 11451398999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746635202560).

11451398999040 is an abundant number, since it is smaller than the sum of its proper divisors (42041871406080).

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

11451398999040 is a wasteful number, since it uses less digits than its factorization.

11451398999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 11451398999040 in words is "eleven trillion, four hundred fifty-one billion, three hundred ninety-eight million, nine hundred ninety-nine thousand, forty".