1332231515040 has 768 divisors, whose sum is σ = 4707039859200. Its totient is φ = 315334656000.

The previous prime is 1332231515009. The next prime is 1332231515063. The reversal of 1332231515040 is 405151322331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1332231514989 and 1332231515007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1415760970 + ... + 1415761910.

It is an arithmetic number, because the mean of its divisors is an integer number (6128958150).

Almost surely, 2^{1332231515040} is an apocalyptic number.

1332231515040 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 1332231515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353519929600).

1332231515040 is an abundant number, since it is smaller than the sum of its proper divisors (3374808344160).

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

1332231515040 is a wasteful number, since it uses less digits than its factorization.

1332231515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1332231515040 its reverse (405151322331), we get a palindrome (1737382837371).

The spelling of 1332231515040 in words is "one trillion, three hundred thirty-two billion, two hundred thirty-one million, five hundred fifteen thousand, forty".