20401290000 has 1200 divisors, whose sum is σ = 91371151872. Its totient is φ = 4133376000.

The previous prime is 20401289981. The next prime is 20401290017. The reversal of 20401290000 is 9210402.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 384929974 + ... + 384930026.

Almost surely, 2^20401290000 is an apocalyptic number.

20401290000 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 20401290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45685575936).

20401290000 is an abundant number, since it is smaller than the sum of its proper divisors (70969861872).

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

20401290000 is a wasteful number, since it uses less digits than its factorization.

20401290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20401290000 in words is "twenty billion, four hundred one million, two hundred ninety thousand".