20042878464 has 400 divisors, whose sum is σ = 69813612000. Its totient is φ = 5722472448.

The previous prime is 20042878463. The next prime is 20042878469. The reversal of 20042878464 is 46487824002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042878463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14224192 + ... + 14225600.

It is an arithmetic number, because the mean of its divisors is an integer number (174534030).

Almost surely, 2^20042878464 is an apocalyptic number.

20042878464 is a gapful number since it is divisible by the number (24) 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 20042878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34906806000).

20042878464 is an abundant number, since it is smaller than the sum of its proper divisors (49770733536).

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

20042878464 is an frugal number, since it uses more digits than its factorization.

20042878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 20042878464 in words is "twenty billion, forty-two million, eight hundred seventy-eight thousand, four hundred sixty-four".