20194061400 has 480 divisors, whose sum is σ = 72255062880. Its totient is φ = 5225472000.

The previous prime is 20194061399. The next prime is 20194061417. The reversal of 20194061400 is 416049102.

20194061400 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 40 + 614 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111569310 + ... + 111569490.

It is an arithmetic number, because the mean of its divisors is an integer number (150531381).

Almost surely, 2^20194061400 is an apocalyptic number.

20194061400 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 20194061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36127531440).

20194061400 is an abundant number, since it is smaller than the sum of its proper divisors (52061001480).

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

20194061400 is a wasteful number, since it uses less digits than its factorization.

20194061400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20194061400 in words is "twenty billion, one hundred ninety-four million, sixty-one thousand, four hundred".