1329557040 has 240 divisors, whose sum is σ = 5128171776. Its totient is φ = 302400000.

The previous prime is 1329557023. The next prime is 1329557041. The reversal of 1329557040 is 407559231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1329557040² = 3535443845227123200, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1329556986 and 1329557004.

It is not an unprimeable number, because it can be changed into a prime (1329557041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264515 + ... + 1265565.

Almost surely, 2^1329557040 is an apocalyptic number.

1329557040 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 1329557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564085888).

1329557040 is an abundant number, since it is smaller than the sum of its proper divisors (3798614736).

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

1329557040 is a wasteful number, since it uses less digits than its factorization.

1329557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1329557040 is about 36463.0914761763. The cubic root of 1329557040 is about 1099.6023466225.

The spelling of 1329557040 in words is "one billion, three hundred twenty-nine million, five hundred fifty-seven thousand, forty".