20172407400 has 384 divisors, whose sum is σ = 75571056000. Its totient is φ = 4925214720.

The previous prime is 20172407309. The next prime is 20172407401. The reversal of 20172407400 is 470427102.

It is a happy number.

20172407400 is a `hidden beast` number, since 2 + 0 + 17 + 240 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20172407401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3393631 + ... + 3399569.

It is an arithmetic number, because the mean of its divisors is an integer number (196799625).

Almost surely, 2^20172407400 is an apocalyptic number.

20172407400 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 20172407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785528000).

20172407400 is an abundant number, since it is smaller than the sum of its proper divisors (55398648600).

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

20172407400 is a wasteful number, since it uses less digits than its factorization.

20172407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 20172407400 in words is "twenty billion, one hundred seventy-two million, four hundred seven thousand, four hundred".