1033980741024 has 288 divisors, whose sum is σ = 3528380544192. Its totient is φ = 262015488000.

The previous prime is 1033980740953. The next prime is 1033980741037. The reversal of 1033980741024 is 4201470893301.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877814 + ... + 2365194.

It is an arithmetic number, because the mean of its divisors is an integer number (12251321334).

Almost surely, 2^{1033980741024} is an apocalyptic number.

1033980741024 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 1033980741024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764190272096).

1033980741024 is an abundant number, since it is smaller than the sum of its proper divisors (2494399803168).

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

1033980741024 is a wasteful number, since it uses less digits than its factorization.

1033980741024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487460 (or 487445 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1033980741024 in words is "one trillion, thirty-three billion, nine hundred eighty million, seven hundred forty-one thousand, twenty-four".