10355255040 has 576 divisors, whose sum is σ = 38569789440. Its totient is φ = 2346516480.

The previous prime is 10355255021. The next prime is 10355255051. The reversal of 10355255040 is 4055255301.

It is a happy number.

It is a super-3 number, since 3×10355255040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10355254989 and 10355255007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33296485 + ... + 33296795.

It is an arithmetic number, because the mean of its divisors is an integer number (66961440).

Almost surely, 2^10355255040 is an apocalyptic number.

10355255040 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 10355255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

10355255040 is an abundant number, since it is smaller than the sum of its proper divisors (28214534400).

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

10355255040 is a wasteful number, since it uses less digits than its factorization.

10355255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 10355255040 in words is "ten billion, three hundred fifty-five million, two hundred fifty-five thousand, forty".