33401496960 has 448 divisors, whose sum is σ = 128953626480. Its totient is φ = 8220413952.

The previous prime is 33401496923. The next prime is 33401496979. The reversal of 33401496960 is 6969410433.

33401496960 is a `hidden beast` number, since 33 + 40 + 1 + 496 + 96 + 0 = 666.

It is a super-2 number, since 2×33401496960² (a number of 22 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 55 ways as a sum of consecutive naturals, for example, 6062527 + ... + 6068033.

Almost surely, 2^33401496960 is an apocalyptic number.

33401496960 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 33401496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64476813240).

33401496960 is an abundant number, since it is smaller than the sum of its proper divisors (95552129520).

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

33401496960 is an equidigital number, since it uses as much as digits as its factorization.

33401496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 33401496960 in words is "thirty-three billion, four hundred one million, four hundred ninety-six thousand, nine hundred sixty".