10489430016000 has 1840 divisors, whose sum is σ = 44336136804960. Its totient is φ = 2446118092800.

The previous prime is 10489430015951. The next prime is 10489430016031. The reversal of 10489430016000 is 61003498401.

10489430016000 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 9 + 43 + 0 + 0 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×10489430016000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 552075263991 + ... + 552075264009.

Almost surely, 2^{10489430016000} is an apocalyptic number.

10489430016000 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 10489430016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168068402480).

10489430016000 is an abundant number, since it is smaller than the sum of its proper divisors (33846706788960).

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

10489430016000 is an frugal number, since it uses more digits than its factorization.

10489430016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10489430016000 in words is "ten trillion, four hundred eighty-nine billion, four hundred thirty million, sixteen thousand".