1054121040 has 400 divisors, whose sum is σ = 4433501952. Its totient is φ = 226603008.

The previous prime is 1054121021. The next prime is 1054121063. The reversal of 1054121040 is 401214501.

1054121040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054121040² = 2222342333941363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770437 + ... + 771803.

Almost surely, 2^1054121040 is an apocalyptic number.

1054121040 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 1054121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216750976).

1054121040 is an abundant number, since it is smaller than the sum of its proper divisors (3379380912).

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

1054121040 is a wasteful number, since it uses less digits than its factorization.

1054121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1054121040 is about 32467.2302483597. The cubic root of 1054121040 is about 1017.7243384468.

Adding to 1054121040 its reverse (401214501), we get a palindrome (1455335541).

The spelling of 1054121040 in words is "one billion, fifty-four million, one hundred twenty-one thousand, forty".