10741264410240 has 3072 divisors, whose sum is σ = 48759459840000. Its totient is φ = 2163094585344.

The previous prime is 10741264410211. The next prime is 10741264410251. The reversal of 10741264410240 is 4201446214701.

10741264410240 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 1 + 2 + 644 + 1 + 0 + 2 + 4 + 0 = 666.

10741264410240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10741264410240² (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 a junction number, because it is equal to n+sod(n) for n = 10741264410195 and 10741264410204.

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, 84576885057 + ... + 84576885183.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220000).

Almost surely, 2^{10741264410240} is an apocalyptic number.

10741264410240 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 10741264410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379729920000).

10741264410240 is an abundant number, since it is smaller than the sum of its proper divisors (38018195429760).

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

10741264410240 is a wasteful number, since it uses less digits than its factorization.

10741264410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10741264410240 in words is "ten trillion, seven hundred forty-one billion, two hundred sixty-four million, four hundred ten thousand, two hundred forty".