1109460295680 has 896 divisors, whose sum is σ = 4087485628416. Its totient is φ = 254332108800.

The previous prime is 1109460295663. The next prime is 1109460295693. The reversal of 1109460295680 is 865920649011.

It is a super-3 number, since 3×1109460295680³ (a number of 37 digits) contains 333 as substring.

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, 3948257140 + ... + 3948257420.

Almost surely, 2^{1109460295680} is an apocalyptic number.

1109460295680 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 1109460295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043742814208).

1109460295680 is an abundant number, since it is smaller than the sum of its proper divisors (2978025332736).

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

1109460295680 is a wasteful number, since it uses less digits than its factorization.

1109460295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1109460295680 in words is "one trillion, one hundred nine billion, four hundred sixty million, two hundred ninety-five thousand, six hundred eighty".