4000001280 has 288 divisors, whose sum is σ = 14027465088. Its totient is φ = 963379200.

The previous prime is 4000001263. The next prime is 4000001297. The reversal of 4000001280 is 821000004.

It is an interprime number because it is at equal distance from previous prime (4000001263) and next prime (4000001297).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11869272 + ... + 11869608.

It is an arithmetic number, because the mean of its divisors is an integer number (48706476).

Almost surely, 2^4000001280 is an apocalyptic number.

4000001280 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 4000001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013732544).

4000001280 is an abundant number, since it is smaller than the sum of its proper divisors (10027463808).

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

4000001280 is a wasteful number, since it uses less digits than its factorization.

4000001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4000001280 is about 63245.5633226553. The cubic root of 4000001280 is about 1587.4012212910.

Adding to 4000001280 its reverse (821000004), we get a palindrome (4821001284).

It can be divided in two parts, 400000 and 1280, that multiplied together give a cube (512000000 = 800³).

The spelling of 4000001280 in words is "four billion, one thousand, two hundred eighty".