1421364672 has 560 divisors, whose sum is σ = 5452457472. Its totient is φ = 355829760.

The previous prime is 1421364667. The next prime is 1421364683. The reversal of 1421364672 is 2764631241.

1421364672 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 646 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10850047 + ... + 10850177.

Almost surely, 2^1421364672 is an apocalyptic number.

1421364672 is a gapful number since it is divisible by the number (12) 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 1421364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726228736).

1421364672 is an abundant number, since it is smaller than the sum of its proper divisors (4031092800).

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

1421364672 is a wasteful number, since it uses less digits than its factorization.

1421364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1421364672 is about 37700.9903318202. The cubic root of 1421364672 is about 1124.3508147908.

The spelling of 1421364672 in words is "one billion, four hundred twenty-one million, three hundred sixty-four thousand, six hundred seventy-two".