1127103507400 has 96 divisors (see below), whose sum is σ = 2825826713640. Its totient is φ = 415610818560.

The previous prime is 1127103507391. The next prime is 1127103507449. The reversal of 1127103507400 is 47053017211.

It can be written as a sum of positive squares in 12 ways, for example, as 40409844484 + 1086693662916 = 201022^2 + 1042446^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681872 + ... + 2254528.

Almost surely, 2^{1127103507400} is an apocalyptic number.

1127103507400 is a gapful number since it is divisible by the number (10) 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 1127103507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412913356820).

1127103507400 is an abundant number, since it is smaller than the sum of its proper divisors (1698723206240).

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

1127103507400 is a wasteful number, since it uses less digits than its factorization.

1127103507400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573443 (or 573434 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 1127103507400 in words is "one trillion, one hundred twenty-seven billion, one hundred three million, five hundred seven thousand, four hundred".