10671248307240 has 384 divisors, whose sum is σ = 36597877898400. Its totient is φ = 2692697333760.

The previous prime is 10671248307149. The next prime is 10671248307277. The reversal of 10671248307240 is 4270384217601.

10671248307240 is a `hidden beast` number, since 1 + 0 + 67 + 1 + 2 + 48 + 307 + 240 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 87820951716 + 10583427355524 = 296346^2 + 3253218^2 .

It is a super-2 number, since 2×10671248307240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176374434 + ... + 176434926.

Almost surely, 2^{10671248307240} is an apocalyptic number.

10671248307240 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 10671248307240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298938949200).

10671248307240 is an abundant number, since it is smaller than the sum of its proper divisors (25926629591160).

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

10671248307240 is a wasteful number, since it uses less digits than its factorization.

10671248307240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60877 (or 60870 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10671248307240 in words is "ten trillion, six hundred seventy-one billion, two hundred forty-eight million, three hundred seven thousand, two hundred forty".