1412521264 has 160 divisors (see below), whose sum is σ = 3611197440. Its totient is φ = 518918400.

The previous prime is 1412521261. The next prime is 1412521267. The reversal of 1412521264 is 4621252141.

It is an interprime number because it is at equal distance from previous prime (1412521261) and next prime (1412521267).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1412521261) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2238229 + ... + 2238859.

It is an arithmetic number, because the mean of its divisors is an integer number (22569984).

Almost surely, 2^1412521264 is an apocalyptic number.

1412521264 is a gapful number since it is divisible by the number (14) 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 1412521264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805598720).

1412521264 is an abundant number, since it is smaller than the sum of its proper divisors (2198676176).

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

1412521264 is a wasteful number, since it uses less digits than its factorization.

1412521264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 1412521264 is about 37583.5238369156. The cubic root of 1412521264 is about 1122.0141435660.

The spelling of 1412521264 in words is "one billion, four hundred twelve million, five hundred twenty-one thousand, two hundred sixty-four".