99441094268880 has 3360 divisors, whose sum is σ = 454352879554560. Its totient is φ = 20028816138240.

The previous prime is 99441094268807. The next prime is 99441094269019. The reversal of 99441094268880 is 8886249014499.

99441094268880 is a `hidden beast` number, since 9 + 9 + 4 + 41 + 0 + 9 + 426 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99441094268799 and 99441094268808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 90979957614 + ... + 90979958706.

It is an arithmetic number, because the mean of its divisors is an integer number (135224071296).

Almost surely, 2^{99441094268880} is an apocalyptic number.

99441094268880 is a gapful number since it is divisible by the number (90) 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 99441094268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227176439777280).

99441094268880 is an abundant number, since it is smaller than the sum of its proper divisors (354911785285680).

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

99441094268880 is a wasteful number, since it uses less digits than its factorization.

99441094268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 99441094268880 in words is "ninety-nine trillion, four hundred forty-one billion, ninety-four million, two hundred sixty-eight thousand, eight hundred eighty".