10628369735040 has 1024 divisors, whose sum is σ = 38769269760000. Its totient is φ = 2751060049920.

The previous prime is 10628369735021. The next prime is 10628369735069. The reversal of 10628369735040 is 4053796382601.

10628369735040 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 3 + 69 + 73 + 504 + 0 = 666.

It is a super-2 number, since 2×10628369735040² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37823379700 + ... + 37823379980.

It is an arithmetic number, because the mean of its divisors is an integer number (37860615000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10628369735040 = 21256739470080, but 3⋅10628369735040 = 31885109205120 is not.

Almost surely, 2^{10628369735040} is an apocalyptic number.

10628369735040 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 10628369735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384634880000).

10628369735040 is an abundant number, since it is smaller than the sum of its proper divisors (28140900024960).

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

10628369735040 is a wasteful number, since it uses less digits than its factorization.

10628369735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10628369735040 in words is "ten trillion, six hundred twenty-eight billion, three hundred sixty-nine million, seven hundred thirty-five thousand, forty".