1040121404000 has 384 divisors, whose sum is σ = 3103575471360. Its totient is φ = 335591424000.

The previous prime is 1040121403987. The next prime is 1040121404041. The reversal of 1040121404000 is 4041210401.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1040121404000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137560220 + ... + 137567780.

It is an arithmetic number, because the mean of its divisors is an integer number (8082227790).

Almost surely, 2^{1040121404000} is an apocalyptic number.

1040121404000 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 1040121404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551787735680).

1040121404000 is an abundant number, since it is smaller than the sum of its proper divisors (2063454067360).

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

1040121404000 is an frugal number, since it uses more digits than its factorization.

1040121404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1040121404000 its reverse (4041210401), we get a palindrome (1044162614401).

The spelling of 1040121404000 in words is "one trillion, forty billion, one hundred twenty-one million, four hundred four thousand".