1074111432400 has 120 divisors (see below), whose sum is σ = 2586607057664. Its totient is φ = 428638003200.

The previous prime is 1074111432397. The next prime is 1074111432409. The reversal of 1074111432400 is 42341114701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074111432409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508333744 + ... + 508335856.

Almost surely, 2^{1074111432400} is an apocalyptic number.

1074111432400 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 1074111432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293303528832).

1074111432400 is an abundant number, since it is smaller than the sum of its proper divisors (1512495625264).

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

1074111432400 is a wasteful number, since it uses less digits than its factorization.

1074111432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 1074111432400 in words is "one trillion, seventy-four billion, one hundred eleven million, four hundred thirty-two thousand, four hundred".