1055111040 has 384 divisors, whose sum is σ = 3971635200. Its totient is φ = 257126400.

The previous prime is 1055111033. The next prime is 1055111041. The reversal of 1055111040 is 401115501.

It is a happy number.

1055111040 is a `hidden beast` number, since 1 + 0 + 551 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1055111040³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055111041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3392485 + ... + 3392795.

It is an arithmetic number, because the mean of its divisors is an integer number (10342800).

Almost surely, 2^1055111040 is an apocalyptic number.

1055111040 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 1055111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985817600).

1055111040 is an abundant number, since it is smaller than the sum of its proper divisors (2916524160).

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

1055111040 is a wasteful number, since it uses less digits than its factorization.

1055111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1055111040 is about 32482.4728122722. The cubic root of 1055111040 is about 1018.0428445138.

Adding to 1055111040 its reverse (401115501), we get a palindrome (1456226541).

The spelling of 1055111040 in words is "one billion, fifty-five million, one hundred eleven thousand, forty".