1041688144 has 80 divisors (see below), whose sum is σ = 2364062976. Its totient is φ = 435456000.

The previous prime is 1041688117. The next prime is 1041688159. The reversal of 1041688144 is 4418861401.

1041688144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1041688144² = 2170228378700329472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802504 + ... + 803800.

Almost surely, 2^1041688144 is an apocalyptic number.

1041688144 is a gapful number since it is divisible by the number (14) 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 1041688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182031488).

1041688144 is an abundant number, since it is smaller than the sum of its proper divisors (1322374832).

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

1041688144 is a wasteful number, since it uses less digits than its factorization.

1041688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 1041688144 is about 32275.1939420974. The cubic root of 1041688144 is about 1013.7072994533.

The spelling of 1041688144 in words is "one billion, forty-one million, six hundred eighty-eight thousand, one hundred forty-four".