20450415744 has 384 divisors, whose sum is σ = 69169464000. Its totient is φ = 5730140160.

The previous prime is 20450415691. The next prime is 20450415757. The reversal of 20450415744 is 44751405402.

20450415744 is a `hidden beast` number, since 2 + 0 + 45 + 0 + 41 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 20450415699 and 20450415708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12709212 + ... + 12710820.

Almost surely, 2^20450415744 is an apocalyptic number.

20450415744 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 20450415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34584732000).

20450415744 is an abundant number, since it is smaller than the sum of its proper divisors (48719048256).

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

20450415744 is a wasteful number, since it uses less digits than its factorization.

20450415744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 20450415744 in words is "twenty billion, four hundred fifty million, four hundred fifteen thousand, seven hundred forty-four".