1042001400 has 384 divisors, whose sum is σ = 3847253760. Its totient is φ = 230400000.

The previous prime is 1042001393. The next prime is 1042001479. The reversal of 1042001400 is 41002401.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4151275 + ... + 4151525.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2^1042001400 is an apocalyptic number.

1042001400 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 1042001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923626880).

1042001400 is an abundant number, since it is smaller than the sum of its proper divisors (2805252360).

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

1042001400 is a wasteful number, since it uses less digits than its factorization.

1042001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

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

The square root of 1042001400 is about 32280.0464683680. The cubic root of 1042001400 is about 1013.8089031401.

Adding to 1042001400 its reverse (41002401), we get a palindrome (1083003801).

It can be divided in two parts, 1042001 and 400, that added together give a palindrome (1042401).

The spelling of 1042001400 in words is "one billion, forty-two million, one thousand, four hundred".