4114387248300 has 2160 divisors, whose sum is σ = 17020585612800. Its totient is φ = 857532614400.

The previous prime is 4114387248271. The next prime is 4114387248329. The reversal of 4114387248300 is 38427834114.

It is an interprime number because it is at equal distance from previous prime (4114387248271) and next prime (4114387248329).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 61408764867 + ... + 61408764933.

Almost surely, 2^{4114387248300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114387248300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510292806400).

4114387248300 is an abundant number, since it is smaller than the sum of its proper divisors (12906198364500).

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

4114387248300 is a wasteful number, since it uses less digits than its factorization.

4114387248300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4114387248300 in words is "four trillion, one hundred fourteen billion, three hundred eighty-seven million, two hundred forty-eight thousand, three hundred".