10141431056064 has 840 divisors, whose sum is σ = 38213430911568. Its totient is φ = 2629736202240.

The previous prime is 10141431056063. The next prime is 10141431056123. The reversal of 10141431056064 is 46065013414101.

10141431056064 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 4 + 31 + 0 + 560 + 64 = 666.

It is a super-2 number, since 2×10141431056064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10141431056063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1880477752 + ... + 1880483144.

Almost surely, 2^{10141431056064} is an apocalyptic number.

10141431056064 is a gapful number since it is divisible by the number (14) 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 10141431056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106715455784).

10141431056064 is an abundant number, since it is smaller than the sum of its proper divisors (28071999855504).

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

10141431056064 is a wasteful number, since it uses less digits than its factorization.

10141431056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10141431056064 in words is "ten trillion, one hundred forty-one billion, four hundred thirty-one million, fifty-six thousand, sixty-four".