434622057540 has 192 divisors, whose sum is σ = 1381405777920. Its totient is φ = 101175093760.

The previous prime is 434622057539. The next prime is 434622057547. The reversal of 434622057540 is 45750226434.

It is a junction number, because it is equal to n+sod(n) for n = 434622057492 and 434622057501.

It is not an unprimeable number, because it can be changed into a prime (434622057547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511881 + ... + 1776239.

It is an arithmetic number, because the mean of its divisors is an integer number (7194821760).

Almost surely, 2^434622057540 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 434622057540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690702888960).

434622057540 is an abundant number, since it is smaller than the sum of its proper divisors (946783720380).

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

434622057540 is a wasteful number, since it uses less digits than its factorization.

434622057540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264482 (or 264480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 434622057540 in words is "four hundred thirty-four billion, six hundred twenty-two million, fifty-seven thousand, five hundred forty".