1004111040400 has 120 divisors (see below), whose sum is σ = 2601618008360. Its totient is φ = 370224414720.

The previous prime is 1004111040397. The next prime is 1004111040403. The reversal of 1004111040400 is 40401114001.

It is an interprime number because it is at equal distance from previous prime (1004111040397) and next prime (1004111040403).

It can be written as a sum of positive squares in 12 ways, for example, as 752785287424 + 251325752976 = 867632^2 + 501324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1004111040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550624 + ... + 3822976.

Almost surely, 2^{1004111040400} is an apocalyptic number.

1004111040400 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 1004111040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300809004180).

1004111040400 is an abundant number, since it is smaller than the sum of its proper divisors (1597506967960).

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

1004111040400 is a wasteful number, since it uses less digits than its factorization.

1004111040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273093 (or 273082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1004111040400 its reverse (40401114001), we get a palindrome (1044512154401).

The spelling of 1004111040400 in words is "one trillion, four billion, one hundred eleven million, forty thousand, four hundred".