1401224680 has 32 divisors (see below), whose sum is σ = 3160895400. Its totient is φ = 559042816.

The previous prime is 1401224663. The next prime is 1401224681. The reversal of 1401224680 is 864221041.

It can be written as a sum of positive squares in 4 ways, for example, as 959636484 + 441588196 = 30978^2 + 21014^2 .

It is a super-2 number, since 2×1401224680² = 3926861207682204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1401224681) 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 7 ways as a sum of consecutive naturals, for example, 29467 + ... + 60586.

Almost surely, 2^1401224680 is an apocalyptic number.

1401224680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401224680 is an abundant number, since it is smaller than the sum of its proper divisors (1759670720).

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

1401224680 is a wasteful number, since it uses less digits than its factorization.

1401224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90453 (or 90449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1401224680 is about 37432.9357651788. The cubic root of 1401224680 is about 1119.0150460524.

The spelling of 1401224680 in words is "one billion, four hundred one million, two hundred twenty-four thousand, six hundred eighty".