434403985554000 has 1280 divisors, whose sum is σ = 1957283388702720. Its totient is φ = 89466854400000.

The previous prime is 434403985553999. The next prime is 434403985554037. The reversal of 434403985554000 is 455589304434.

It is a happy number.

434403985554000 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 3 + 9 + 85 + 554 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 469391725 + ... + 470316275.

It is an arithmetic number, because the mean of its divisors is an integer number (1529127647424).

Almost surely, 2^{434403985554000} is an apocalyptic number.

434403985554000 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 434403985554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978641694351360).

434403985554000 is an abundant number, since it is smaller than the sum of its proper divisors (1522879403148720).

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

434403985554000 is a wasteful number, since it uses less digits than its factorization.

434403985554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924714 (or 924692 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 434403985554000 in words is "four hundred thirty-four trillion, four hundred three billion, nine hundred eighty-five million, five hundred fifty-four thousand".