141264340640 has 96 divisors (see below), whose sum is σ = 345999321360. Its totient is φ = 54438092800.

The previous prime is 141264340639. The next prime is 141264340663. The reversal of 141264340640 is 46043462141.

It can be written as a sum of positive squares in 8 ways, for example, as 46481635216 + 94782705424 = 215596^2 + 307868^2 .

It is a super-2 number, since 2×141264340640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141264340640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2106020 + ... + 2172060.

Almost surely, 2^141264340640 is an apocalyptic number.

141264340640 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 141264340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172999660680).

141264340640 is an abundant number, since it is smaller than the sum of its proper divisors (204734980720).

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

141264340640 is a wasteful number, since it uses less digits than its factorization.

141264340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66546 (or 66538 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 141264340640 in words is "one hundred forty-one billion, two hundred sixty-four million, three hundred forty thousand, six hundred forty".