4126746624 has 576 divisors, whose sum is σ = 15127781760. Its totient is φ = 973209600.

The previous prime is 4126746619. The next prime is 4126746653. The reversal of 4126746624 is 4266476214.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67651554 + ... + 67651614.

It is an arithmetic number, because the mean of its divisors is an integer number (26263510).

Almost surely, 2^4126746624 is an apocalyptic number.

4126746624 is a gapful number since it is divisible by the number (44) 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 4126746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563890880).

4126746624 is an abundant number, since it is smaller than the sum of its proper divisors (11001035136).

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

4126746624 is a wasteful number, since it uses less digits than its factorization.

4126746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 4126746624 is about 64239.7589036572. The cubic root of 4126746624 is about 1603.9934908930.

The spelling of 4126746624 in words is "four billion, one hundred twenty-six million, seven hundred forty-six thousand, six hundred twenty-four".