141280201909440 has 1792 divisors, whose sum is σ = 584251564032000. Its totient is φ = 31759722086400.

The previous prime is 141280201909307. The next prime is 141280201909447. The reversal of 141280201909440 is 44909102082141.

141280201909440 is a `hidden beast` number, since 1 + 4 + 12 + 8 + 0 + 2 + 0 + 190 + 9 + 440 = 666.

It is a super-2 number, since 2×141280201909440² (a number of 29 digits) contains 22 as substring.

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 (141280201909447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30573510330 + ... + 30573514950.

Almost surely, 2^{141280201909440} is an apocalyptic number.

141280201909440 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 141280201909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292125782016000).

141280201909440 is an abundant number, since it is smaller than the sum of its proper divisors (442971362122560).

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

141280201909440 is a wasteful number, since it uses less digits than its factorization.

141280201909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 141280201909440 in words is "one hundred forty-one trillion, two hundred eighty billion, two hundred one million, nine hundred nine thousand, four hundred forty".