20429817408000 has 6400 divisors, whose sum is σ = 106302828183552. Its totient is φ = 3762339840000.

The previous prime is 20429817407959. The next prime is 20429817408017. The reversal of 20429817408000 is 80471892402.

20429817408000 is a `hidden beast` number, since 2 + 0 + 429 + 81 + 74 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 160864703937 + ... + 160864704063.

Almost surely, 2^{20429817408000} is an apocalyptic number.

20429817408000 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 20429817408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53151414091776).

20429817408000 is an abundant number, since it is smaller than the sum of its proper divisors (85873010775552).

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

20429817408000 is a wasteful number, since it uses less digits than its factorization.

20429817408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20429817408000 in words is "twenty trillion, four hundred twenty-nine billion, eight hundred seventeen million, four hundred eight thousand".