20338658298240 has 256 divisors, whose sum is σ = 67673137659840. Its totient is φ = 5190547046400.

The previous prime is 20338658298227. The next prime is 20338658298293. The reversal of 20338658298240 is 4289285683302.

It is a super-2 number, since 2×20338658298240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1986730 + ... + 6680150.

Almost surely, 2^{20338658298240} is an apocalyptic number.

20338658298240 is a gapful number since it is divisible by the number (20) 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 20338658298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33836568829920).

20338658298240 is an abundant number, since it is smaller than the sum of its proper divisors (47334479361600).

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

20338658298240 is a wasteful number, since it uses less digits than its factorization.

20338658298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693541 (or 4693529 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 20338658298240 in words is "twenty trillion, three hundred thirty-eight billion, six hundred fifty-eight million, two hundred ninety-eight thousand, two hundred forty".