4126506644400 has 480 divisors, whose sum is σ = 15467419545600. Its totient is φ = 920721392640.

The previous prime is 4126506644383. The next prime is 4126506644401. The reversal of 4126506644400 is 44466056214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4126506644401) 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, 1191597069 + ... + 1191600531.

It is an arithmetic number, because the mean of its divisors is an integer number (32223790720).

Almost surely, 2^{4126506644400} is an apocalyptic number.

4126506644400 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 4126506644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733709772800).

4126506644400 is an abundant number, since it is smaller than the sum of its proper divisors (11340912901200).

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

4126506644400 is a wasteful number, since it uses less digits than its factorization.

4126506644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4126506644400 in words is "four trillion, one hundred twenty-six billion, five hundred six million, six hundred forty-four thousand, four hundred".