20462035440 has 640 divisors, whose sum is σ = 82280448000. Its totient is φ = 4168872960.

The previous prime is 20462035439. The next prime is 20462035457. The reversal of 20462035440 is 4453026402.

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 = 20462035398 and 20462035407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53425489 + ... + 53425871.

It is an arithmetic number, because the mean of its divisors is an integer number (128563200).

Almost surely, 2^20462035440 is an apocalyptic number.

20462035440 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 20462035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224000).

20462035440 is an abundant number, since it is smaller than the sum of its proper divisors (61818412560).

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

20462035440 is a wasteful number, since it uses less digits than its factorization.

20462035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 20462035440 in words is "twenty billion, four hundred sixty-two million, thirty-five thousand, four hundred forty".