1074423727104 has 1408 divisors, whose sum is σ = 4006580981760. Its totient is φ = 247669456896.

The previous prime is 1074423727079. The next prime is 1074423727133. The reversal of 1074423727104 is 4017273244701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6591556527 + ... + 6591556689.

Almost surely, 2^{1074423727104} is an apocalyptic number.

1074423727104 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 1074423727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003290490880).

1074423727104 is an abundant number, since it is smaller than the sum of its proper divisors (2932157254656).

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

1074423727104 is a wasteful number, since it uses less digits than its factorization.

1074423727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 1074423727104 in words is "one trillion, seventy-four billion, four hundred twenty-three million, seven hundred twenty-seven thousand, one hundred four".