8041611432960 has 1056 divisors, whose sum is σ = 33620353776000. Its totient is φ = 1817293750272.

The previous prime is 8041611432949. The next prime is 8041611432971. The reversal of 8041611432960 is 692341161408.

8041611432960 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 611 + 4 + 3 + 29 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8041611432949) and next prime (8041611432971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602857971 + ... + 602871309.

Almost surely, 2^{8041611432960} is an apocalyptic number.

8041611432960 is a gapful number since it is divisible by the number (80) 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 8041611432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810176888000).

8041611432960 is an abundant number, since it is smaller than the sum of its proper divisors (25578742343040).

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

8041611432960 is a wasteful number, since it uses less digits than its factorization.

8041611432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13476 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8041611432960 in words is "eight trillion, forty-one billion, six hundred eleven million, four hundred thirty-two thousand, nine hundred sixty".