1041465600 has 810 divisors, whose sum is σ = 4588725834. Its totient is φ = 232243200.

The previous prime is 1041465587. The next prime is 1041465613. The reversal of 1041465600 is 65641401.

1041465600 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 656 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1041465587) and next prime (1041465613).

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 1040449536 = 1008^2 + 32256^2 .

It is a tau number, because it is divible by the number of its divisors (810).

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 89 ways as a sum of consecutive naturals, for example, 25401580 + ... + 25401620.

Almost surely, 2^1041465600 is an apocalyptic number.

1041465600 is a gapful number since it is divisible by the number (10) 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 1041465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294362917).

1041465600 is an abundant number, since it is smaller than the sum of its proper divisors (3547260234).

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

1041465600 is an equidigital number, since it uses as much as digits as its factorization.

1041465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1041465600 is about 32271.7461566616. The cubic root of 1041465600 is about 1013.6351055676.

It can be divided in two parts, 104146 and 5600, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 1041465600 in words is "one billion, forty-one million, four hundred sixty-five thousand, six hundred".