20354415440 has 40 divisors (see below), whose sum is σ = 47349630888. Its totient is φ = 8137359360.

The previous prime is 20354415439. The next prime is 20354415449. The reversal of 20354415440 is 4451445302.

It can be written as a sum of positive squares in 4 ways, for example, as 707347216 + 19647068224 = 26596^2 + 140168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20354415440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20354415397 and 20354415406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354415449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81920 + ... + 217760.

Almost surely, 2^20354415440 is an apocalyptic number.

20354415440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20354415440 is an abundant number, since it is smaller than the sum of its proper divisors (26995215448).

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

20354415440 is a wasteful number, since it uses less digits than its factorization.

20354415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137727 (or 137721 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 20354415440 in words is "twenty billion, three hundred fifty-four million, four hundred fifteen thousand, four hundred forty".