1121641410 has 64 divisors (see below), whose sum is σ = 2811024000. Its totient is φ = 286067712.

The previous prime is 1121641403. The next prime is 1121641463. The reversal of 1121641410 is 141461211.

It is a super-3 number, since 3×1121641410³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87066 + ... + 99114.

It is an arithmetic number, because the mean of its divisors is an integer number (43922250).

Almost surely, 2^1121641410 is an apocalyptic number.

1121641410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121641410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405512000).

1121641410 is an abundant number, since it is smaller than the sum of its proper divisors (1689382590).

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

1121641410 is a wasteful number, since it uses less digits than its factorization.

1121641410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1121641410 is about 33490.9153353562. The cubic root of 1121641410 is about 1039.0058948650.

The spelling of 1121641410 in words is "one billion, one hundred twenty-one million, six hundred forty-one thousand, four hundred ten".