4151350948320 has 576 divisors, whose sum is σ = 14938434201600. Its totient is φ = 1048407183360.

The previous prime is 4151350948229. The next prime is 4151350948321. The reversal of 4151350948320 is 238490531514.

4151350948320 is a `hidden beast` number, since 4 + 1 + 513 + 50 + 9 + 4 + 83 + 2 + 0 = 666.

It is a super-2 number, since 2×4151350948320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4151350948321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603127599 + ... + 603134481.

It is an arithmetic number, because the mean of its divisors is an integer number (25934781600).

Almost surely, 2^{4151350948320} is an apocalyptic number.

4151350948320 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 4151350948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469217100800).

4151350948320 is an abundant number, since it is smaller than the sum of its proper divisors (10787083253280).

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

4151350948320 is a wasteful number, since it uses less digits than its factorization.

4151350948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4151350948320 in words is "four trillion, one hundred fifty-one billion, three hundred fifty million, nine hundred forty-eight thousand, three hundred twenty".