1144400656 has 40 divisors (see below), whose sum is σ = 2540640960. Its totient is φ = 489177984.

The previous prime is 1144400629. The next prime is 1144400657. The reversal of 1144400656 is 6560044411.

It is a super-2 number, since 2×1144400656² = 2619305722906460672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1144400657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30435 + ... + 56701.

It is an arithmetic number, because the mean of its divisors is an integer number (63516024).

Almost surely, 2^1144400656 is an apocalyptic number.

1144400656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1144400656 is an abundant number, since it is smaller than the sum of its proper divisors (1396240304).

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

1144400656 is a wasteful number, since it uses less digits than its factorization.

1144400656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26671 (or 26665 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1144400656 is about 33828.9913535713. The cubic root of 1144400656 is about 1045.9863876160.

The spelling of 1144400656 in words is "one billion, one hundred forty-four million, four hundred thousand, six hundred fifty-six".