10141088253840 has 480 divisors, whose sum is σ = 35731203056640. Its totient is φ = 2574916521984.

The previous prime is 10141088253809. The next prime is 10141088253841. The reversal of 10141088253840 is 4835288014101.

10141088253840 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 108 + 8 + 2 + 538 + 4 + 0 = 666.

10141088253840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10141088253841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350488014 + ... + 350516946.

It is an arithmetic number, because the mean of its divisors is an integer number (74440006368).

Almost surely, 2^{10141088253840} is an apocalyptic number.

10141088253840 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 10141088253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865601528320).

10141088253840 is an abundant number, since it is smaller than the sum of its proper divisors (25590114802800).

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

10141088253840 is a wasteful number, since it uses less digits than its factorization.

10141088253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29271 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10141088253840 in words is "ten trillion, one hundred forty-one billion, eighty-eight million, two hundred fifty-three thousand, eight hundred forty".