20201763410400 has 1296 divisors, whose sum is σ = 79017590800512. Its totient is φ = 4477260902400.

The previous prime is 20201763410383. The next prime is 20201763410441. The reversal of 20201763410400 is 401436710202.

It is a super-2 number, since 2×20201763410400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5251301277 + ... + 5251305123.

It is an arithmetic number, because the mean of its divisors is an integer number (60970363272).

Almost surely, 2^{20201763410400} is an apocalyptic number.

20201763410400 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 20201763410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508795400256).

20201763410400 is an abundant number, since it is smaller than the sum of its proper divisors (58815827390112).

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

20201763410400 is a wasteful number, since it uses less digits than its factorization.

20201763410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 20201763410400 in words is "twenty trillion, two hundred one billion, seven hundred sixty-three million, four hundred ten thousand, four hundred".