20434459296 has 96 divisors (see below), whose sum is σ = 56890608768. Its totient is φ = 6408483840.

The previous prime is 20434459267. The next prime is 20434459337. The reversal of 20434459296 is 69295443402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58830 + ... + 210546.

It is an arithmetic number, because the mean of its divisors is an integer number (592610508).

Almost surely, 2^20434459296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434459296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445304384).

20434459296 is an abundant number, since it is smaller than the sum of its proper divisors (36456149472).

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

20434459296 is a wasteful number, since it uses less digits than its factorization.

20434459296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151814 (or 151806 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 20434459296 in words is "twenty billion, four hundred thirty-four million, four hundred fifty-nine thousand, two hundred ninety-six".