33401156640400 has 120 divisors (see below), whose sum is σ = 80406353735424. Its totient is φ = 13333826726400.

The previous prime is 33401156640377. The next prime is 33401156640491. The reversal of 33401156640400 is 404665110433.

It is a super-2 number, since 2×33401156640400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33401156640400.

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 23 ways as a sum of consecutive naturals, for example, 748530090 + ... + 748574710.

Almost surely, 2^{33401156640400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33401156640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203176867712).

33401156640400 is an abundant number, since it is smaller than the sum of its proper divisors (47005197095024).

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

33401156640400 is a wasteful number, since it uses less digits than its factorization.

33401156640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48329 (or 48318 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 33401156640400 in words is "thirty-three trillion, four hundred one billion, one hundred fifty-six million, six hundred forty thousand, four hundred".