142268142240 has 576 divisors, whose sum is σ = 591504076800. Its totient is φ = 30413740032.

The previous prime is 142268142187. The next prime is 142268142257. The reversal of 142268142240 is 42241862241.

142268142240 is a `hidden beast` number, since 1 + 4 + 226 + 8 + 1 + 422 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142268142195 and 142268142204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15125379 + ... + 15134781.

It is an arithmetic number, because the mean of its divisors is an integer number (1026916800).

Almost surely, 2^142268142240 is an apocalyptic number.

142268142240 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 142268142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295752038400).

142268142240 is an abundant number, since it is smaller than the sum of its proper divisors (449235934560).

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

142268142240 is a wasteful number, since it uses less digits than its factorization.

142268142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 142268142240 in words is "one hundred forty-two billion, two hundred sixty-eight million, one hundred forty-two thousand, two hundred forty".