4100259840 has 272 divisors, whose sum is σ = 13564275648. Its totient is φ = 1056964608.

The previous prime is 4100259833. The next prime is 4100259847. The reversal of 4100259840 is 489520014.

It is an interprime number because it is at equal distance from previous prime (4100259833) and next prime (4100259847).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100259847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42270672 + ... + 42270768.

Almost surely, 2^4100259840 is an apocalyptic number.

4100259840 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 4100259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782137824).

4100259840 is an abundant number, since it is smaller than the sum of its proper divisors (9464015808).

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

4100259840 is an frugal number, since it uses more digits than its factorization.

4100259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4100259840 is about 64033.2713516965. The cubic root of 4100259840 is about 1600.5544744932.

Adding to 4100259840 its reverse (489520014), we get a palindrome (4589779854).

The spelling of 4100259840 in words is "four billion, one hundred million, two hundred fifty-nine thousand, eight hundred forty".