10049665353840 has 1200 divisors, whose sum is σ = 42563978808384. Its totient is φ = 2152297267200.

The previous prime is 10049665353803. The next prime is 10049665353901. The reversal of 10049665353840 is 4835356694001.

10049665353840 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 6 + 65 + 3 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 3159277050 + ... + 3159280230.

Almost surely, 2^{10049665353840} is an apocalyptic number.

10049665353840 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 10049665353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21281989404192).

10049665353840 is an abundant number, since it is smaller than the sum of its proper divisors (32514313454544).

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

10049665353840 is a wasteful number, since it uses less digits than its factorization.

10049665353840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 10049665353840 in words is "ten trillion, forty-nine billion, six hundred sixty-five million, three hundred fifty-three thousand, eight hundred forty".