10355841611640 has 480 divisors, whose sum is σ = 40515682727520. Its totient is φ = 2365544176128.

The previous prime is 10355841611629. The next prime is 10355841611671. The reversal of 10355841611640 is 4611614855301.

10355841611640 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 584 + 1 + 6 + 1 + 1 + 64 + 0 = 666.

It is a super-3 number, since 3×10355841611640³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 259870197 + ... + 259910043.

It is an arithmetic number, because the mean of its divisors is an integer number (84407672349).

Almost surely, 2^{10355841611640} is an apocalyptic number.

10355841611640 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 10355841611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257841363760).

10355841611640 is an abundant number, since it is smaller than the sum of its proper divisors (30159841115880).

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

10355841611640 is a wasteful number, since it uses less digits than its factorization.

10355841611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41521 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10355841611640 in words is "ten trillion, three hundred fifty-five billion, eight hundred forty-one million, six hundred eleven thousand, six hundred forty".