1033400420104 has 128 divisors (see below), whose sum is σ = 2206878105600. Its totient is φ = 450050515200.

The previous prime is 1033400420077. The next prime is 1033400420137. The reversal of 1033400420104 is 4010240043301.

It is a super-2 number, since 2×1033400420104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 368675167 + ... + 368677969.

It is an arithmetic number, because the mean of its divisors is an integer number (17241235200).

Almost surely, 2^{1033400420104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033400420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103439052800).

1033400420104 is an abundant number, since it is smaller than the sum of its proper divisors (1173477685496).

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

1033400420104 is a wasteful number, since it uses less digits than its factorization.

1033400420104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1033400420104 its reverse (4010240043301), we get a palindrome (5043640463405).

The spelling of 1033400420104 in words is "one trillion, thirty-three billion, four hundred million, four hundred twenty thousand, one hundred four".