434225046674100 has 1152 divisors, whose sum is σ = 1442426958766080. Its totient is φ = 99940368384000.

The previous prime is 434225046674099. The next prime is 434225046674143. The reversal of 434225046674100 is 1476640522434.

It is a super-2 number, since 2×434225046674100² (a number of 30 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 434225046674100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 260170788066 + ... + 260170789734.

It is an arithmetic number, because the mean of its divisors is an integer number (1252106735040).

Almost surely, 2^{434225046674100} 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 434225046674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721213479383040).

434225046674100 is an abundant number, since it is smaller than the sum of its proper divisors (1008201912091980).

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

434225046674100 is a wasteful number, since it uses less digits than its factorization.

434225046674100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 434225046674100 in words is "four hundred thirty-four trillion, two hundred twenty-five billion, forty-six million, six hundred seventy-four thousand, one hundred".