434461606740 has 480 divisors, whose sum is σ = 1622248556544. Its totient is φ = 95242936320.

The previous prime is 434461606739. The next prime is 434461606753. The reversal of 434461606740 is 47606164434.

434461606740 is a `hidden beast` number, since 4 + 3 + 446 + 160 + 6 + 7 + 40 = 666.

It is a super-2 number, since 2×434461606740² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39718552 + ... + 39729488.

Almost surely, 2^434461606740 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 434461606740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811124278272).

434461606740 is an abundant number, since it is smaller than the sum of its proper divisors (1187786949804).

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

434461606740 is a wasteful number, since it uses less digits than its factorization.

434461606740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 434461606740 in words is "four hundred thirty-four billion, four hundred sixty-one million, six hundred six thousand, seven hundred forty".