434968912040 has 32 divisors (see below), whose sum is σ = 1053963134280. Its totient is φ = 160603905792.

The previous prime is 434968912039. The next prime is 434968912093. The reversal of 434968912040 is 40219869434.

It can be written as a sum of positive squares in 4 ways, for example, as 394436753764 + 40532158276 = 628042^2 + 201326^2 .

It is a super-2 number, since 2×434968912040² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434968912040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418238819 + ... + 418239858.

Almost surely, 2^434968912040 is an apocalyptic number.

434968912040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434968912040 is an abundant number, since it is smaller than the sum of its proper divisors (618994222240).

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

434968912040 is a wasteful number, since it uses less digits than its factorization.

434968912040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836478701 (or 836478697 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 434968912040 in words is "four hundred thirty-four billion, nine hundred sixty-eight million, nine hundred twelve thousand, forty".