4151142312240 has 320 divisors, whose sum is σ = 16063354736640. Its totient is φ = 861528837120.

The previous prime is 4151142312227. The next prime is 4151142312259. The reversal of 4151142312240 is 422132411514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4151142312198 and 4151142312207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15147151 + ... + 15418769.

It is an arithmetic number, because the mean of its divisors is an integer number (50197983552).

Almost surely, 2^{4151142312240} is an apocalyptic number.

4151142312240 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 4151142312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031677368320).

4151142312240 is an abundant number, since it is smaller than the sum of its proper divisors (11912212424400).

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

4151142312240 is a wasteful number, since it uses less digits than its factorization.

4151142312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272480 (or 272474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 4151142312240 its reverse (422132411514), we get a palindrome (4573274723754).

The spelling of 4151142312240 in words is "four trillion, one hundred fifty-one billion, one hundred forty-two million, three hundred twelve thousand, two hundred forty".