242792440955000 has 160 divisors (see below), whose sum is σ = 594076064931360. Its totient is φ = 92819348160000.

The previous prime is 242792440954969. The next prime is 242792440955011. The reversal of 242792440955000 is 559044297242.

It is a super-2 number, since 2×242792440955000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141401630 + ... + 143108370.

It is an arithmetic number, because the mean of its divisors is an integer number (3712975405821).

Almost surely, 2^{242792440955000} is an apocalyptic number.

242792440955000 is a gapful number since it is divisible by the number (20) 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 242792440955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297038032465680).

242792440955000 is an abundant number, since it is smaller than the sum of its proper divisors (351283623976360).

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

242792440955000 is a wasteful number, since it uses less digits than its factorization.

242792440955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708027 (or 1708008 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 242792440955000 in words is "two hundred forty-two trillion, seven hundred ninety-two billion, four hundred forty million, nine hundred fifty-five thousand".