1054055235040 has 192 divisors, whose sum is σ = 2773011677184. Its totient is φ = 376576155648.

The previous prime is 1054055235011. The next prime is 1054055235059. The reversal of 1054055235040 is 405325504501.

It is a super-2 number, since 2×1054055235040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1054055234987 and 1054055235005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7878787 + ... + 8011453.

It is an arithmetic number, because the mean of its divisors is an integer number (14442769152).

Almost surely, 2^{1054055235040} is an apocalyptic number.

1054055235040 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 1054055235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386505838592).

1054055235040 is an abundant number, since it is smaller than the sum of its proper divisors (1718956442144).

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

1054055235040 is a wasteful number, since it uses less digits than its factorization.

1054055235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132849 (or 132841 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 1054055235040 in words is "one trillion, fifty-four billion, fifty-five million, two hundred thirty-five thousand, forty".