20334417967392 has 384 divisors, whose sum is σ = 57599942400000. Its totient is φ = 6258665373696.

The previous prime is 20334417967361. The next prime is 20334417967439. The reversal of 20334417967392 is 29376971443302.

It is a super-4 number, since 4×20334417967392⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12498104883 + ... + 12498106509.

It is an arithmetic number, because the mean of its divisors is an integer number (149999850000).

Almost surely, 2^{20334417967392} 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 20334417967392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28799971200000).

20334417967392 is an abundant number, since it is smaller than the sum of its proper divisors (37265524432608).

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

20334417967392 is a wasteful number, since it uses less digits than its factorization.

20334417967392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 60.

The spelling of 20334417967392 in words is "twenty trillion, three hundred thirty-four billion, four hundred seventeen million, nine hundred sixty-seven thousand, three hundred ninety-two".