4130397250560 has 396 divisors, whose sum is σ = 16648335180828. Its totient is φ = 944090284032.

The previous prime is 4130397250549. The next prime is 4130397250561. The reversal of 4130397250560 is 650527930314.

4130397250560 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 39 + 7 + 2 + 50 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2987311251456 + 1143085999104 = 1728384^2 + 1069152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4130397250561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1343274 + ... + 3172566.

Almost surely, 2^{4130397250560} is an apocalyptic number.

4130397250560 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 4130397250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324167590414).

4130397250560 is an abundant number, since it is smaller than the sum of its proper divisors (12517937930268).

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

4130397250560 is a wasteful number, since it uses less digits than its factorization.

4130397250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829338 (or 1829310 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 4130397250560 in words is "four trillion, one hundred thirty billion, three hundred ninety-seven million, two hundred fifty thousand, five hundred sixty".