1127801520400 has 135 divisors (see below), whose sum is σ = 2807730927183. Its totient is φ = 435326841600.

The previous prime is 1127801520367. The next prime is 1127801520403. The reversal of 1127801520400 is 40251087211.

The square root of 1127801520400 is 1061980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15502242064 + 1112299278336 = 124508^2 + 1054656^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1127801520403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 615947485 + ... + 615949315.

Almost surely, 2^{1127801520400} is an apocalyptic number.

1127801520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1127801520400 is the 1061980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127801520400

1127801520400 is an abundant number, since it is smaller than the sum of its proper divisors (1679929406783).

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

1127801520400 is an frugal number, since it uses more digits than its factorization.

1127801520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 1127801520400 in words is "one trillion, one hundred twenty-seven billion, eight hundred one million, five hundred twenty thousand, four hundred".