1042100040 has 128 divisors (see below), whose sum is σ = 3175200000. Its totient is φ = 273589248.

The previous prime is 1042099991. The next prime is 1042100041. The reversal of 1042100040 is 400012401.

It is a super-3 number, since 3×1042100040³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042099989 and 1042100025.

It is not an unprimeable number, because it can be changed into a prime (1042100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985786 + ... + 2986134.

It is an arithmetic number, because the mean of its divisors is an integer number (24806250).

Almost surely, 2^1042100040 is an apocalyptic number.

1042100040 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 1042100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600000).

1042100040 is an abundant number, since it is smaller than the sum of its proper divisors (2133099960).

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

1042100040 is a wasteful number, since it uses less digits than its factorization.

1042100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

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

The square root of 1042100040 is about 32281.5743110524. The cubic root of 1042100040 is about 1013.8408925261.

Adding to 1042100040 its reverse (400012401), we get a palindrome (1442112441).

The spelling of 1042100040 in words is "one billion, forty-two million, one hundred thousand, forty".