1041667162560 has 448 divisors, whose sum is σ = 3775345459200. Its totient is φ = 270214963200.

The previous prime is 1041667162493. The next prime is 1041667162573. The reversal of 1041667162560 is 652617661401.

1041667162560 is a `hidden beast` number, since 1 + 0 + 4 + 16 + 6 + 7 + 1 + 625 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 127168065 + ... + 127176255.

It is an arithmetic number, because the mean of its divisors is an integer number (8427110400).

Almost surely, 2^{1041667162560} is an apocalyptic number.

1041667162560 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 1041667162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887672729600).

1041667162560 is an abundant number, since it is smaller than the sum of its proper divisors (2733678296640).

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

1041667162560 is a wasteful number, since it uses less digits than its factorization.

1041667162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1041667162560 in words is "one trillion, forty-one billion, six hundred sixty-seven million, one hundred sixty-two thousand, five hundred sixty".