1042101030400 has 120 divisors (see below), whose sum is σ = 2584926630000. Its totient is φ = 416349634560.

The previous prime is 1042101030361. The next prime is 1042101030409. The reversal of 1042101030400 is 40301012401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042101030409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10922101 + ... + 11017099.

It is an arithmetic number, because the mean of its divisors is an integer number (21541055250).

Almost surely, 2^{1042101030400} is an apocalyptic number.

1042101030400 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 1042101030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292463315000).

1042101030400 is an abundant number, since it is smaller than the sum of its proper divisors (1542825599600).

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

1042101030400 is an frugal number, since it uses more digits than its factorization.

1042101030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95884 (or 95863 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1042101030400 its reverse (40301012401), we get a palindrome (1082402042801).

The spelling of 1042101030400 in words is "one trillion, forty-two billion, one hundred one million, thirty thousand, four hundred".