42254031240000 has 1120 divisors, whose sum is σ = 162011252304000. Its totient is φ = 10782019584000.

The previous prime is 42254031239977. The next prime is 42254031240037. The reversal of 42254031240000 is 4213045224.

42254031240000 is a `hidden beast` number, since 4 + 2 + 254 + 0 + 3 + 1 + 2 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3539154031 + ... + 3539165969.

Almost surely, 2^{42254031240000} is an apocalyptic number.

42254031240000 is a gapful number since it is divisible by the number (40) 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 42254031240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81005626152000).

42254031240000 is an abundant number, since it is smaller than the sum of its proper divisors (119757221064000).

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

42254031240000 is a wasteful number, since it uses less digits than its factorization.

42254031240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42254031240000 its reverse (4213045224), we get a palindrome (42258244285224).

The spelling of 42254031240000 in words is "forty-two trillion, two hundred fifty-four billion, thirty-one million, two hundred forty thousand".