42251345024240 has 320 divisors, whose sum is σ = 113927282472960. Its totient is φ = 14402004664320.

The previous prime is 42251345024237. The next prime is 42251345024243. The reversal of 42251345024240 is 4242054315224.

It is an interprime number because it is at equal distance from previous prime (42251345024237) and next prime (42251345024243).

It is a junction number, because it is equal to n+sod(n) for n = 42251345024194 and 42251345024203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42251345024243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4551470639 + ... + 4551479921.

It is an arithmetic number, because the mean of its divisors is an integer number (356022757728).

Almost surely, 2^{42251345024240} is an apocalyptic number.

42251345024240 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 42251345024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963641236480).

42251345024240 is an abundant number, since it is smaller than the sum of its proper divisors (71675937448720).

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

42251345024240 is a wasteful number, since it uses less digits than its factorization.

42251345024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10520 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 42251345024240 its reverse (4242054315224), we get a palindrome (46493399339464).

The spelling of 42251345024240 in words is "forty-two trillion, two hundred fifty-one billion, three hundred forty-five million, twenty-four thousand, two hundred forty".