10291783400640 has 672 divisors, whose sum is σ = 42614819520000. Its totient is φ = 2227078250496.

The previous prime is 10291783400609. The next prime is 10291783400641. The reversal of 10291783400640 is 4600438719201.

10291783400640 is a `hidden beast` number, since 10 + 2 + 9 + 178 + 3 + 400 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (10291783400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 616303011 + ... + 616319709.

It is an arithmetic number, because the mean of its divisors is an integer number (63414910000).

Almost surely, 2^{10291783400640} is an apocalyptic number.

10291783400640 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 10291783400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307409760000).

10291783400640 is an abundant number, since it is smaller than the sum of its proper divisors (32323036119360).

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

10291783400640 is a wasteful number, since it uses less digits than its factorization.

10291783400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18357 (or 18344 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10291783400640 in words is "ten trillion, two hundred ninety-one billion, seven hundred eighty-three million, four hundred thousand, six hundred forty".