20705341440 has 416 divisors, whose sum is σ = 78205833216. Its totient is φ = 4577034240.

The previous prime is 20705341429. The next prime is 20705341477. The reversal of 20705341440 is 4414350702.

It is a super-2 number, since 2×20705341440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20705341398 and 20705341407.

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, 13331704 + ... + 13333256.

Almost surely, 2^20705341440 is an apocalyptic number.

20705341440 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 20705341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39102916608).

20705341440 is an abundant number, since it is smaller than the sum of its proper divisors (57500491776).

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

20705341440 is a wasteful number, since it uses less digits than its factorization.

20705341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 20705341440 in words is "twenty billion, seven hundred five million, three hundred forty-one thousand, four hundred forty".