10411921520000 has 1280 divisors, whose sum is σ = 36320977566720. Its totient is φ = 2864885760000.

The previous prime is 10411921519973. The next prime is 10411921520009. The reversal of 10411921520000 is 2512911401.

It is a super-2 number, since 2×10411921520000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411921520009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1841837174 + ... + 1841842826.

It is an arithmetic number, because the mean of its divisors is an integer number (28375763724).

Almost surely, 2^{10411921520000} is an apocalyptic number.

10411921520000 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 10411921520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18160488783360).

10411921520000 is an abundant number, since it is smaller than the sum of its proper divisors (25909056046720).

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

10411921520000 is a wasteful number, since it uses less digits than its factorization.

10411921520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The spelling of 10411921520000 in words is "ten trillion, four hundred eleven billion, nine hundred twenty-one million, five hundred twenty thousand".