1335450425440 has 192 divisors, whose sum is σ = 3229219224000. Its totient is φ = 521784524800.

The previous prime is 1335450425437. The next prime is 1335450425453. The reversal of 1335450425440 is 445240545331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1335450425393 and 1335450425402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947799456 + ... + 947800864.

It is an arithmetic number, because the mean of its divisors is an integer number (16818850125).

Almost surely, 2^{1335450425440} is an apocalyptic number.

1335450425440 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 1335450425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614609612000).

1335450425440 is an abundant number, since it is smaller than the sum of its proper divisors (1893768798560).

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

1335450425440 is a wasteful number, since it uses less digits than its factorization.

1335450425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 1335450425440 in words is "one trillion, three hundred thirty-five billion, four hundred fifty million, four hundred twenty-five thousand, four hundred forty".