10602308471040 has 1152 divisors, whose sum is σ = 45229836072960. Its totient is φ = 2317322649600.

The previous prime is 10602308471011. The next prime is 10602308471101. The reversal of 10602308471040 is 4017480320601.

10602308471040 is a `hidden beast` number, since 1 + 0 + 602 + 3 + 0 + 8 + 4 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10602308471040² (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 = 10602308470986 and 10602308471004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212484495 + ... + 212534385.

It is an arithmetic number, because the mean of its divisors is an integer number (39262010480).

Almost surely, 2^{10602308471040} is an apocalyptic number.

10602308471040 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 10602308471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614918036480).

10602308471040 is an abundant number, since it is smaller than the sum of its proper divisors (34627527601920).

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

10602308471040 is a wasteful number, since it uses less digits than its factorization.

10602308471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49988 (or 49968 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 10602308471040 its reverse (4017480320601), we get a palindrome (14619788791641).

The spelling of 10602308471040 in words is "ten trillion, six hundred two billion, three hundred eight million, four hundred seventy-one thousand, forty".