1017400011264 has 720 divisors, whose sum is σ = 3694883512320. Its totient is φ = 267126128640.

The previous prime is 1017400011241. The next prime is 1017400011373. The reversal of 1017400011264 is 4621100047101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795464577 + ... + 795465855.

It is an arithmetic number, because the mean of its divisors is an integer number (5131782656).

Almost surely, 2^{1017400011264} is an apocalyptic number.

1017400011264 is a gapful number since it is divisible by the number (14) 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 1017400011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847441756160).

1017400011264 is an abundant number, since it is smaller than the sum of its proper divisors (2677483501056).

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

1017400011264 is a wasteful number, since it uses less digits than its factorization.

1017400011264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 1017400011264 its reverse (4621100047101), we get a palindrome (5638500058365).

The spelling of 1017400011264 in words is "one trillion, seventeen billion, four hundred million, eleven thousand, two hundred sixty-four".