141648806040 has 512 divisors, whose sum is σ = 511239168000. Its totient is φ = 31365895680.

The previous prime is 141648806029. The next prime is 141648806051. The reversal of 141648806040 is 40608846141.

It is an interprime number because it is at equal distance from previous prime (141648806029) and next prime (141648806051).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 141648805983 and 141648806001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288490195 + ... + 288490685.

It is an arithmetic number, because the mean of its divisors is an integer number (998514000).

Almost surely, 2^141648806040 is an apocalyptic number.

141648806040 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 141648806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255619584000).

141648806040 is an abundant number, since it is smaller than the sum of its proper divisors (369590361960).

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

141648806040 is a wasteful number, since it uses less digits than its factorization.

141648806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 141648806040 in words is "one hundred forty-one billion, six hundred forty-eight million, eight hundred six thousand, forty".