4126250419200 has 3168 divisors, whose sum is σ = 19464700679424. Its totient is φ = 842764124160.

The previous prime is 4126250419199. The next prime is 4126250419201. The reversal of 4126250419200 is 29140526214.

It is a happy number.

4126250419200 is a `hidden beast` number, since 4 + 1 + 2 + 62 + 504 + 1 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4126250419199) and next prime (4126250419201).

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

It is not an unprimeable number, because it can be changed into a prime (4126250419201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20945433502 + ... + 20945433698.

It is an arithmetic number, because the mean of its divisors is an integer number (6144160568).

Almost surely, 2^{4126250419200} is an apocalyptic number.

4126250419200 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 4126250419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732350339712).

4126250419200 is an abundant number, since it is smaller than the sum of its proper divisors (15338450260224).

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

4126250419200 is a wasteful number, since it uses less digits than its factorization.

4126250419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4126250419200 in words is "four trillion, one hundred twenty-six billion, two hundred fifty million, four hundred nineteen thousand, two hundred".