434978501841 has 63 divisors (see below), whose sum is σ = 706571317899. Its totient is φ = 267536619792.

The previous prime is 434978501723. The next prime is 434978501843. The reversal of 434978501841 is 148105879434.

The square root of 434978501841 is 659529.

It is a perfect power (a square), and thus also a powerful number.

434978501841 is a `hidden beast` number, since 4 + 3 + 4 + 97 + 8 + 501 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64345932225 + 370632569616 = 253665^2 + 608796^2 .

It is not a de Polignac number, because 434978501841 - 2²¹ = 434976404689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434978501843) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 231493740 + ... + 231495618.

Almost surely, 2^434978501841 is an apocalyptic number.

434978501841 is the 659529-th square number.

434978501841 is the 329765-th centered octagonal number.

It is an amenable number.

434978501841 is a deficient number, since it is larger than the sum of its proper divisors (271592816058).

434978501841 is an frugal number, since it uses more digits than its factorization.

434978501841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 434978501841 in words is "four hundred thirty-four billion, nine hundred seventy-eight million, five hundred one thousand, eight hundred forty-one".