10140230466464 has 96 divisors (see below), whose sum is σ = 23388612105600. Its totient is φ = 4236803112960.

The previous prime is 10140230466409. The next prime is 10140230466497. The reversal of 10140230466464 is 46466403204101.

It is a super-2 number, since 2×10140230466464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12548447 + ... + 13332065.

It is an arithmetic number, because the mean of its divisors is an integer number (243631376100).

Almost surely, 2^{10140230466464} is an apocalyptic number.

10140230466464 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 10140230466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694306052800).

10140230466464 is an abundant number, since it is smaller than the sum of its proper divisors (13248381639136).

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

10140230466464 is a wasteful number, since it uses less digits than its factorization.

10140230466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785086 (or 785078 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 10140230466464 in words is "ten trillion, one hundred forty billion, two hundred thirty million, four hundred sixty-six thousand, four hundred sixty-four".