10284974508040 has 64 divisors (see below), whose sum is σ = 23308871040000. Its totient is φ = 4084183349760.

The previous prime is 10284974508001. The next prime is 10284974508043. The reversal of 10284974508040 is 4080547948201.

It is a super-3 number, since 3×10284974508040³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10284974508043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152582745 + ... + 152650135.

It is an arithmetic number, because the mean of its divisors is an integer number (364201110000).

Almost surely, 2^{10284974508040} is an apocalyptic number.

10284974508040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10284974508040 is an abundant number, since it is smaller than the sum of its proper divisors (13023896531960).

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

10284974508040 is a wasteful number, since it uses less digits than its factorization.

10284974508040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94990 (or 94986 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 10284974508040 in words is "ten trillion, two hundred eighty-four billion, nine hundred seventy-four million, five hundred eight thousand, forty".