1042772401 has 24 divisors (see below), whose sum is σ = 1250202240. Its totient is φ = 861369600.

The previous prime is 1042772387. The next prime is 1042772411.

1042772401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1042772401 - 2¹¹ = 1042770353 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1042772401.

It is not an unprimeable number, because it can be changed into a prime (1042772411) 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 23 ways as a sum of consecutive naturals, for example, 86536 + ... + 97846.

It is an arithmetic number, because the mean of its divisors is an integer number (52091760).

Almost surely, 2^1042772401 is an apocalyptic number.

1042772401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1042772401 is a deficient number, since it is larger than the sum of its proper divisors (207429839).

1042772401 is a wasteful number, since it uses less digits than its factorization.

1042772401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 1042772401 is about 32291.9866375545. The cubic root of 1042772401 is about 1014.0588883996.

It can be divided in two parts, 10427 and 72401, that added together give a palindrome (82828).

The spelling of 1042772401 in words is "one billion, forty-two million, seven hundred seventy-two thousand, four hundred one".