4126982880 has 192 divisors, whose sum is σ = 13475524608. Its totient is φ = 1060577280.

The previous prime is 4126982869. The next prime is 4126982891. The reversal of 4126982880 is 882896214.

It is an interprime number because it is at equal distance from previous prime (4126982869) and next prime (4126982891).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5014149 + ... + 5014971.

It is an arithmetic number, because the mean of its divisors is an integer number (70185024).

Almost surely, 2^4126982880 is an apocalyptic number.

4126982880 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 4126982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737762304).

4126982880 is an abundant number, since it is smaller than the sum of its proper divisors (9348541728).

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

4126982880 is a wasteful number, since it uses less digits than its factorization.

4126982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 4126982880 is about 64241.5977385370. The cubic root of 4126982880 is about 1604.0240998197.

The spelling of 4126982880 in words is "four billion, one hundred twenty-six million, nine hundred eighty-two thousand, eight hundred eighty".