142208040960 has 1024 divisors, whose sum is σ = 561692620800. Its totient is φ = 33973862400.

The previous prime is 142208040941. The next prime is 142208040967. The reversal of 142208040960 is 69040802241.

142208040960 is a `hidden beast` number, since 1 + 42 + 208 + 0 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (142208040967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2331279330 + ... + 2331279390.

It is an arithmetic number, because the mean of its divisors is an integer number (548527950).

Almost surely, 2^142208040960 is an apocalyptic number.

142208040960 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 142208040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280846310400).

142208040960 is an abundant number, since it is smaller than the sum of its proper divisors (419484579840).

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

142208040960 is an equidigital number, since it uses as much as digits as its factorization.

142208040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142208040960 in words is "one hundred forty-two billion, two hundred eight million, forty thousand, nine hundred sixty".