1042100400 has 180 divisors, whose sum is σ = 3669766856. Its totient is φ = 252595200.

The previous prime is 1042100383. The next prime is 1042100401. The reversal of 1042100400 is 40012401.

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

It is not an unprimeable number, because it can be changed into a prime (1042100401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141612 + ... + 148788.

Almost surely, 2^1042100400 is an apocalyptic number.

1042100400 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 1042100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834883428).

1042100400 is an abundant number, since it is smaller than the sum of its proper divisors (2627666456).

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

1042100400 is a wasteful number, since it uses less digits than its factorization.

1042100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1042100400 is about 32281.5798869882. The cubic root of 1042100400 is about 1013.8410092720.

Adding to 1042100400 its reverse (40012401), we get a palindrome (1082112801).

The spelling of 1042100400 in words is "one billion, forty-two million, one hundred thousand, four hundred".