4126993542 has 288 divisors, whose sum is σ = 11641192992. Its totient is φ = 1048578048.

The previous prime is 4126993517. The next prime is 4126993543. The reversal of 4126993542 is 2453996214.

4126993542 is a `hidden beast` number, since 4 + 12 + 6 + 9 + 93 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126993543) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23855368 + ... + 23855540.

It is an arithmetic number, because the mean of its divisors is an integer number (40420809).

Almost surely, 2^4126993542 is an apocalyptic number.

4126993542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126993542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820596496).

4126993542 is an abundant number, since it is smaller than the sum of its proper divisors (7514199450).

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

4126993542 is a wasteful number, since it uses less digits than its factorization.

4126993542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 4126993542 is about 64241.6807220982. The cubic root of 4126993542 is about 1604.0254811428.

The spelling of 4126993542 in words is "four billion, one hundred twenty-six million, nine hundred ninety-three thousand, five hundred forty-two".