3335912941440 has 256 divisors, whose sum is σ = 10699564861440. Its totient is φ = 884033740800.

The previous prime is 3335912941367. The next prime is 3335912941451. The reversal of 3335912941440 is 441492195333.

3335912941440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3335912941440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3335912941440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690519825 + ... + 690524655.

It is an arithmetic number, because the mean of its divisors is an integer number (41795175240).

Almost surely, 2^{3335912941440} is an apocalyptic number.

3335912941440 is a gapful number since it is divisible by the number (30) 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 3335912941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349782430720).

3335912941440 is an abundant number, since it is smaller than the sum of its proper divisors (7363651920000).

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

3335912941440 is a wasteful number, since it uses less digits than its factorization.

3335912941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3335912941440 in words is "three trillion, three hundred thirty-five billion, nine hundred twelve million, nine hundred forty-one thousand, four hundred forty".