4001253280800 has 72 divisors (see below), whose sum is σ = 13024079436816. Its totient is φ = 1067000874240.

The previous prime is 4001253280789. The next prime is 4001253280939. The reversal of 4001253280800 is 80823521004.

It is a super-2 number, since 2×4001253280800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833592034 + ... + 833596833.

It is an arithmetic number, because the mean of its divisors is an integer number (180889992178).

Almost surely, 2^{4001253280800} is an apocalyptic number.

4001253280800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001253280800 is an abundant number, since it is smaller than the sum of its proper divisors (9022826156016).

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

4001253280800 is a wasteful number, since it uses less digits than its factorization.

4001253280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667188890 (or 1667188877 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 4001253280800 in words is "four trillion, one billion, two hundred fifty-three million, two hundred eighty thousand, eight hundred".