10266642411480 has 1536 divisors, whose sum is σ = 44538167520000. Its totient is φ = 2082589802496.

The previous prime is 10266642411479. The next prime is 10266642411517. The reversal of 10266642411480 is 8411424666201.

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 383 ways as a sum of consecutive naturals, for example, 5366775004 + ... + 5366776916.

Almost surely, 2^{10266642411480} is an apocalyptic number.

10266642411480 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 10266642411480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22269083760000).

10266642411480 is an abundant number, since it is smaller than the sum of its proper divisors (34271525108520).

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

10266642411480 is a wasteful number, since it uses less digits than its factorization.

10266642411480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10266642411480 in words is "ten trillion, two hundred sixty-six billion, six hundred forty-two million, four hundred eleven thousand, four hundred eighty".