1127465742150 has 960 divisors, whose sum is σ = 3649472133120. Its totient is φ = 255571200000.

The previous prime is 1127465742103. The next prime is 1127465742173. The reversal of 1127465742150 is 512475647211.

1127465742150 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 4 + 6 + 574 + 21 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1127465742096 and 1127465742105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8229676882 + ... + 8229677018.

It is an arithmetic number, because the mean of its divisors is an integer number (3801533472).

Almost surely, 2^{1127465742150} is an apocalyptic number.

1127465742150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127465742150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824736066560).

1127465742150 is an abundant number, since it is smaller than the sum of its proper divisors (2522006390970).

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

1127465742150 is a wasteful number, since it uses less digits than its factorization.

1127465742150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1127465742150 in words is "one trillion, one hundred twenty-seven billion, four hundred sixty-five million, seven hundred forty-two thousand, one hundred fifty".