242425193400 has 432 divisors, whose sum is σ = 919945026000. Its totient is φ = 57077729280.

The previous prime is 242425193393. The next prime is 242425193401. The reversal of 242425193400 is 4391524242.

It is a happy number.

242425193400 is a `hidden beast` number, since 2 + 4 + 2 + 425 + 193 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242425193401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6979276 + ... + 7013924.

It is an arithmetic number, because the mean of its divisors is an integer number (2129502375).

Almost surely, 2^242425193400 is an apocalyptic number.

242425193400 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 242425193400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459972513000).

242425193400 is an abundant number, since it is smaller than the sum of its proper divisors (677519832600).

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

242425193400 is a wasteful number, since it uses less digits than its factorization.

242425193400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34720 (or 34695 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242425193400 in words is "two hundred forty-two billion, four hundred twenty-five million, one hundred ninety-three thousand, four hundred".