1030040400 has 120 divisors (see below), whose sum is σ = 3307377600. Its totient is φ = 274027520.

The previous prime is 1030040383. The next prime is 1030040423. The reversal of 1030040400 is 40400301.

1030040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718084 + ... + 719516.

It is an arithmetic number, because the mean of its divisors is an integer number (27561480).

Almost surely, 2^1030040400 is an apocalyptic number.

1030040400 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 1030040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653688800).

1030040400 is an abundant number, since it is smaller than the sum of its proper divisors (2277337200).

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

1030040400 is a wasteful number, since it uses less digits than its factorization.

1030040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1030040400 is about 32094.2424743131. The cubic root of 1030040400 is about 1009.9148377692.

Adding to 1030040400 its reverse (40400301), we get a palindrome (1070440701).

The spelling of 1030040400 in words is "one billion, thirty million, forty thousand, four hundred".