1332925440 has 704 divisors, whose sum is σ = 5659545600. Its totient is φ = 264929280.

The previous prime is 1332925427. The next prime is 1332925453. The reversal of 1332925440 is 445292331.

It is an interprime number because it is at equal distance from previous prime (1332925427) and next prime (1332925453).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 57953269 + ... + 57953291.

Almost surely, 2^1332925440 is an apocalyptic number.

1332925440 is a gapful number since it is divisible by the number (10) 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 1332925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829772800).

1332925440 is an abundant number, since it is smaller than the sum of its proper divisors (4326620160).

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

1332925440 is a wasteful number, since it uses less digits than its factorization.

1332925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1332925440 is about 36509.2514302882. The cubic root of 1332925440 is about 1100.5301686752.

The spelling of 1332925440 in words is "one billion, three hundred thirty-two million, nine hundred twenty-five thousand, four hundred forty".