242378153472 has 960 divisors, whose sum is σ = 855173265408. Its totient is φ = 60383232000.

The previous prime is 242378153467. The next prime is 242378153473. The reversal of 242378153472 is 274351873242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242378153473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1850214847 + ... + 1850214977.

Almost surely, 2^242378153472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242378153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427586632704).

242378153472 is an abundant number, since it is smaller than the sum of its proper divisors (612795111936).

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

242378153472 is a wasteful number, since it uses less digits than its factorization.

242378153472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 242378153472 in words is "two hundred forty-two billion, three hundred seventy-eight million, one hundred fifty-three thousand, four hundred seventy-two".