4001261240880 has 60 divisors (see below), whose sum is σ = 13437569003040. Its totient is φ = 1067002997376.

The previous prime is 4001261240857. The next prime is 4001261240881. The reversal of 4001261240880 is 880421621004.

4001261240880 is a `hidden beast` number, since 40 + 0 + 126 + 12 + 408 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4001261240881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2778652920 + ... + 2778654359.

It is an arithmetic number, because the mean of its divisors is an integer number (223959483384).

Almost surely, 2^{4001261240880} is an apocalyptic number.

4001261240880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001261240880 is an abundant number, since it is smaller than the sum of its proper divisors (9436307762160).

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

4001261240880 is a wasteful number, since it uses less digits than its factorization.

4001261240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557307298 (or 5557307289 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 4001261240880 its reverse (880421621004), we get a palindrome (4881682861884).

The spelling of 4001261240880 in words is "four trillion, one billion, two hundred sixty-one million, two hundred forty thousand, eight hundred eighty".