20401134000 has 320 divisors, whose sum is σ = 72757426560. Its totient is φ = 4885401600.

The previous prime is 20401133981. The next prime is 20401134031. The reversal of 20401134000 is 43110402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2882466 + ... + 2889534.

It is an arithmetic number, because the mean of its divisors is an integer number (227366958).

Almost surely, 2^20401134000 is an apocalyptic number.

20401134000 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 20401134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36378713280).

20401134000 is an abundant number, since it is smaller than the sum of its proper divisors (52356292560).

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

20401134000 is a wasteful number, since it uses less digits than its factorization.

20401134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20401134000 its reverse (43110402), we get a palindrome (20444244402).

The spelling of 20401134000 in words is "twenty billion, four hundred one million, one hundred thirty-four thousand".