1055405840 has 40 divisors (see below), whose sum is σ = 2455676160. Its totient is φ = 421842816.

The previous prime is 1055405837. The next prime is 1055405861. The reversal of 1055405840 is 485045501.

1055405840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1055405840² = 2227762974212211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055405797 and 1055405806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121151 + ... + 129569.

It is an arithmetic number, because the mean of its divisors is an integer number (61391904).

Almost surely, 2^1055405840 is an apocalyptic number.

1055405840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055405840 is an abundant number, since it is smaller than the sum of its proper divisors (1400270320).

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

1055405840 is a wasteful number, since it uses less digits than its factorization.

1055405840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 1055405840 is about 32487.0103272062. The cubic root of 1055405840 is about 1018.1376500437.

The spelling of 1055405840 in words is "one billion, fifty-five million, four hundred five thousand, eight hundred forty".