20250413404704 has 288 divisors, whose sum is σ = 69700871350656. Its totient is φ = 5444268318720.

The previous prime is 20250413404699. The next prime is 20250413404729. The reversal of 20250413404704 is 40740431405202.

20250413404704 is a `hidden beast` number, since 2 + 0 + 2 + 50 + 4 + 134 + 0 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20250413404704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158306979 + ... + 158434845.

It is an arithmetic number, because the mean of its divisors is an integer number (242016914412).

Almost surely, 2^{20250413404704} is an apocalyptic number.

20250413404704 is a gapful number since it is divisible by the number (24) 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 20250413404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34850435675328).

20250413404704 is an abundant number, since it is smaller than the sum of its proper divisors (49450457945952).

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

20250413404704 is a wasteful number, since it uses less digits than its factorization.

20250413404704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132528 (or 132517 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 20250413404704 its reverse (40740431405202), we get a palindrome (60990844809906).

The spelling of 20250413404704 in words is "twenty trillion, two hundred fifty billion, four hundred thirteen million, four hundred four thousand, seven hundred four".