1019127104640 has 128 divisors (see below), whose sum is σ = 3609408556800. Its totient is φ = 271767223296.

The previous prime is 1019127104561. The next prime is 1019127104641. The reversal of 1019127104640 is 464017219101.

1019127104640 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 2 + 7 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1019127104595 and 1019127104604.

It is not an unprimeable number, because it can be changed into a prime (1019127104641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29471352 + ... + 29505911.

It is an arithmetic number, because the mean of its divisors is an integer number (28198504350).

Almost surely, 2^{1019127104640} is an apocalyptic number.

1019127104640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1019127104640 is an abundant number, since it is smaller than the sum of its proper divisors (2590281452160).

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

1019127104640 is an equidigital number, since it uses as much as digits as its factorization.

1019127104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58977291 (or 58977273 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1019127104640 in words is "one trillion, nineteen billion, one hundred twenty-seven million, one hundred four thousand, six hundred forty".