1127415456 has 96 divisors (see below), whose sum is σ = 3377263680. Its totient is φ = 365637888.

The previous prime is 1127415439. The next prime is 1127415463. The reversal of 1127415456 is 6545147211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1127415456² = 2542131220855375872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1127415456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335 + ... + 49601.

It is an arithmetic number, because the mean of its divisors is an integer number (35179830).

Almost surely, 2^1127415456 is an apocalyptic number.

1127415456 is a gapful number since it is divisible by the number (16) 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 1127415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688631840).

1127415456 is an abundant number, since it is smaller than the sum of its proper divisors (2249848224).

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

1127415456 is a wasteful number, since it uses less digits than its factorization.

1127415456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35323 (or 35309 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1127415456 is about 33577.0078476329. The cubic root of 1127415456 is about 1040.7857277264.

The spelling of 1127415456 in words is "one billion, one hundred twenty-seven million, four hundred fifteen thousand, four hundred fifty-six".