10445675150240 has 192 divisors, whose sum is σ = 27851040725760. Its totient is φ = 3669089280000.

The previous prime is 10445675150231. The next prime is 10445675150297. The reversal of 10445675150240 is 4205157654401.

It is a super-2 number, since 2×10445675150240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10445675150191 and 10445675150200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6571541 + ... + 8004779.

It is an arithmetic number, because the mean of its divisors is an integer number (145057503780).

Almost surely, 2^{10445675150240} is an apocalyptic number.

10445675150240 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 10445675150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925520362880).

10445675150240 is an abundant number, since it is smaller than the sum of its proper divisors (17405365575520).

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

10445675150240 is a wasteful number, since it uses less digits than its factorization.

10445675150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433407 (or 1433399 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 10445675150240 in words is "ten trillion, four hundred forty-five billion, six hundred seventy-five million, one hundred fifty thousand, two hundred forty".