1074969705400 has 96 divisors (see below), whose sum is σ = 2518556994000. Its totient is φ = 426678174720.

The previous prime is 1074969705391. The next prime is 1074969705409. The reversal of 1074969705400 is 45079694701.

It is an interprime number because it is at equal distance from previous prime (1074969705391) and next prime (1074969705409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074969705409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85180291 + ... + 85192909.

Almost surely, 2^{1074969705400} is an apocalyptic number.

1074969705400 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 1074969705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259278497000).

1074969705400 is an abundant number, since it is smaller than the sum of its proper divisors (1443587288600).

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

1074969705400 is a wasteful number, since it uses less digits than its factorization.

1074969705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 1074969705400 in words is "one trillion, seventy-four billion, nine hundred sixty-nine million, seven hundred five thousand, four hundred".