10141655040 has 672 divisors, whose sum is σ = 39931006752. Its totient is φ = 2359296000.

The previous prime is 10141655009. The next prime is 10141655059. The reversal of 10141655040 is 4055614101.

10141655040 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 655 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10141654995 and 10141655013.

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 47 ways as a sum of consecutive naturals, for example, 166256610 + ... + 166256670.

It is an arithmetic number, because the mean of its divisors is an integer number (59421141).

Almost surely, 2^10141655040 is an apocalyptic number.

10141655040 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 10141655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965503376).

10141655040 is an abundant number, since it is smaller than the sum of its proper divisors (29789351712).

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

10141655040 is a wasteful number, since it uses less digits than its factorization.

10141655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10141655040 in words is "ten billion, one hundred forty-one million, six hundred fifty-five thousand, forty".