33466138226400 has 288 divisors, whose sum is σ = 119354167094400. Its totient is φ = 8077573785600.

The previous prime is 33466138226399. The next prime is 33466138226449. The reversal of 33466138226400 is 462283166433.

It is a super-2 number, since 2×33466138226400² (a number of 28 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 33466138226400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277791 + ... + 8813409.

It is an arithmetic number, because the mean of its divisors is an integer number (414424191300).

Almost surely, 2^{33466138226400} is an apocalyptic number.

33466138226400 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 33466138226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59677083547200).

33466138226400 is an abundant number, since it is smaller than the sum of its proper divisors (85888028868000).

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

33466138226400 is a wasteful number, since it uses less digits than its factorization.

33466138226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535882 (or 5535869 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 33466138226400 in words is "thirty-three trillion, four hundred sixty-six billion, one hundred thirty-eight million, two hundred twenty-six thousand, four hundred".