434441377104 has 80 divisors (see below), whose sum is σ = 1285772883840. Its totient is φ = 123822581760.

The previous prime is 434441377081. The next prime is 434441377151. The reversal of 434441377104 is 401773144434.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443237 + ... + 1718084.

It is an arithmetic number, because the mean of its divisors is an integer number (16072161048).

Almost surely, 2^434441377104 is an apocalyptic number.

It is an amenable number.

434441377104 is an abundant number, since it is smaller than the sum of its proper divisors (851331506736).

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

434441377104 is a wasteful number, since it uses less digits than its factorization.

434441377104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161748 (or 3161742 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 434441377104 in words is "four hundred thirty-four billion, four hundred forty-one million, three hundred seventy-seven thousand, one hundred four".