142170672240 has 480 divisors, whose sum is σ = 543513784320. Its totient is φ = 33082269696.

The previous prime is 142170672233. The next prime is 142170672253. The reversal of 142170672240 is 42276071241.

142170672240 is a `hidden beast` number, since 1 + 421 + 7 + 0 + 6 + 7 + 224 + 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 = 142170672195 and 142170672204.

It is a congruent number.

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, 10923817 + ... + 10936823.

It is an arithmetic number, because the mean of its divisors is an integer number (1132320384).

Almost surely, 2^142170672240 is an apocalyptic number.

142170672240 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 142170672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271756892160).

142170672240 is an abundant number, since it is smaller than the sum of its proper divisors (401343112080).

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

142170672240 is a wasteful number, since it uses less digits than its factorization.

142170672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13109 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 142170672240 in words is "one hundred forty-two billion, one hundred seventy million, six hundred seventy-two thousand, two hundred forty".