1041966432 has 288 divisors, whose sum is σ = 3343485600. Its totient is φ = 305750016.

The previous prime is 1041966427. The next prime is 1041966467. The reversal of 1041966432 is 2346691401.

1041966432 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 6 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11707444 + ... + 11707532.

It is an arithmetic number, because the mean of its divisors is an integer number (11609325).

Almost surely, 2^1041966432 is an apocalyptic number.

1041966432 is a gapful number since it is divisible by the number (12) 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 1041966432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671742800).

1041966432 is an abundant number, since it is smaller than the sum of its proper divisors (2301519168).

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

1041966432 is a wasteful number, since it uses less digits than its factorization.

1041966432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1041966432 is about 32279.5048289158. The cubic root of 1041966432 is about 1013.7975623792.

The spelling of 1041966432 in words is "one billion, forty-one million, nine hundred sixty-six thousand, four hundred thirty-two".