10487694417840 has 240 divisors, whose sum is σ = 35360932434048. Its totient is φ = 2785635477504.

The previous prime is 10487694417763. The next prime is 10487694417847. The reversal of 10487694417840 is 4871449678401.

It is a happy number.

10487694417840 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 6 + 9 + 441 + 78 + 40 = 666.

It is a Cunningham number, because it is equal to 3238471²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (10487694417847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291444489 + ... + 291480471.

Almost surely, 2^{10487694417840} is an apocalyptic number.

10487694417840 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 10487694417840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17680466217024).

10487694417840 is an abundant number, since it is smaller than the sum of its proper divisors (24873238016208).

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

10487694417840 is a wasteful number, since it uses less digits than its factorization.

10487694417840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37596 (or 37587 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 10487694417840 in words is "ten trillion, four hundred eighty-seven billion, six hundred ninety-four million, four hundred seventeen thousand, eight hundred forty".