1150540633440 has 144 divisors (see below), whose sum is σ = 4283149053456. Its totient is φ = 278918937600.

The previous prime is 1150540633433. The next prime is 1150540633471. The reversal of 1150540633440 is 443360450511.

1150540633440 is a `hidden beast` number, since 1 + 1 + 50 + 540 + 63 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1150540633395 and 1150540633404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 36301731 + ... + 36333410.

It is an arithmetic number, because the mean of its divisors is an integer number (29744090649).

Almost surely, 2^{1150540633440} is an apocalyptic number.

1150540633440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1150540633440 is an abundant number, since it is smaller than the sum of its proper divisors (3132608420016).

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

1150540633440 is a wasteful number, since it uses less digits than its factorization.

1150540633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72635173 (or 72635162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1150540633440 in words is "one trillion, one hundred fifty billion, five hundred forty million, six hundred thirty-three thousand, four hundred forty".