434763362440 has 192 divisors, whose sum is σ = 1101700414080. Its totient is φ = 154250342400.

The previous prime is 434763362419. The next prime is 434763362441. The reversal of 434763362440 is 44263367434.

It is not an unprimeable number, because it can be changed into a prime (434763362441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33326559 + ... + 33339601.

It is an arithmetic number, because the mean of its divisors is an integer number (5738022990).

Almost surely, 2^434763362440 is an apocalyptic number.

434763362440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434763362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550850207040).

434763362440 is an abundant number, since it is smaller than the sum of its proper divisors (666937051640).

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

434763362440 is a wasteful number, since it uses less digits than its factorization.

434763362440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13229 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 46.

The spelling of 434763362440 in words is "four hundred thirty-four billion, seven hundred sixty-three million, three hundred sixty-two thousand, four hundred forty".