1074431297280 has 288 divisors, whose sum is σ = 3745637521920. Its totient is φ = 260313661440.

The previous prime is 1074431297279. The next prime is 1074431297309. The reversal of 1074431297280 is 827921344701.

It is a super-2 number, since 2×1074431297280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81643341 + ... + 81656499.

It is an arithmetic number, because the mean of its divisors is an integer number (13005685840).

Almost surely, 2^{1074431297280} is an apocalyptic number.

1074431297280 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 1074431297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872818760960).

1074431297280 is an abundant number, since it is smaller than the sum of its proper divisors (2671206224640).

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

1074431297280 is a wasteful number, since it uses less digits than its factorization.

1074431297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15113 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1074431297280 in words is "one trillion, seventy-four billion, four hundred thirty-one million, two hundred ninety-seven thousand, two hundred eighty".