33380949420000 has 3840 divisors, whose sum is σ = 163787891097600. Its totient is φ = 6409912320000.

The previous prime is 33380949419963. The next prime is 33380949420023. The reversal of 33380949420000 is 2494908333.

It is a super-2 number, since 2×33380949420000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 25896779356 + ... + 25896780644.

It is an arithmetic number, because the mean of its divisors is an integer number (42653096640).

Almost surely, 2^{33380949420000} is an apocalyptic number.

33380949420000 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 33380949420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81893945548800).

33380949420000 is an abundant number, since it is smaller than the sum of its proper divisors (130406941677600).

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

33380949420000 is a wasteful number, since it uses less digits than its factorization.

33380949420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 33380949420000 in words is "thirty-three trillion, three hundred eighty billion, nine hundred forty-nine million, four hundred twenty thousand".