20411701440 has 896 divisors, whose sum is σ = 79636193280. Its totient is φ = 4377280512.

The previous prime is 20411701421. The next prime is 20411701441. The reversal of 20411701440 is 4410711402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20411701440.

It is not an unprimeable number, because it can be changed into a prime (20411701441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229344916 + ... + 229345004.

It is an arithmetic number, because the mean of its divisors is an integer number (88879680).

Almost surely, 2^20411701440 is an apocalyptic number.

20411701440 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 20411701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39818096640).

20411701440 is an abundant number, since it is smaller than the sum of its proper divisors (59224491840).

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

20411701440 is a wasteful number, since it uses less digits than its factorization.

20411701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 20411701440 in words is "twenty billion, four hundred eleven million, seven hundred one thousand, four hundred forty".