1041193440 has 480 divisors, whose sum is σ = 4390848000. Its totient is φ = 227183616.

The previous prime is 1041193423. The next prime is 1041193457. The reversal of 1041193440 is 443911401.

1041193440 is a `hidden beast` number, since 104 + 119 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1041193423) and next prime (1041193457).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086311 + ... + 2086809.

It is an arithmetic number, because the mean of its divisors is an integer number (9147600).

Almost surely, 2^1041193440 is an apocalyptic number.

1041193440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1041193440 is the 18630-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424000).

1041193440 is an abundant number, since it is smaller than the sum of its proper divisors (3349654560).

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

1041193440 is a wasteful number, since it uses less digits than its factorization.

1041193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1041193440 is about 32267.5291895738. The cubic root of 1041193440 is about 1013.5468021343.

It can be divided in two parts, 1041 and 193440, that added together give a 4-th power (194481 = 21⁴).

The spelling of 1041193440 in words is "one billion, forty-one million, one hundred ninety-three thousand, four hundred forty".