4125501642240 has 400 divisors, whose sum is σ = 16119547099920. Its totient is φ = 1000121057280.

The previous prime is 4125501642211. The next prime is 4125501642253. The reversal of 4125501642240 is 422461055214.

4125501642240 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 5 + 0 + 1 + 642 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4125501642195 and 4125501642204.

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, 1376626 + ... + 3185294.

Almost surely, 2^{4125501642240} is an apocalyptic number.

4125501642240 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 4125501642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059773549960).

4125501642240 is an abundant number, since it is smaller than the sum of its proper divisors (11994045457680).

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

4125501642240 is a wasteful number, since it uses less digits than its factorization.

4125501642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808715 (or 1808690 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 4125501642240 its reverse (422461055214), we get a palindrome (4547962697454).

The spelling of 4125501642240 in words is "four trillion, one hundred twenty-five billion, five hundred one million, six hundred forty-two thousand, two hundred forty".