434370378624 has 512 divisors, whose sum is σ = 1440279429120. Its totient is φ = 112942080000.

The previous prime is 434370378623. The next prime is 434370378641. The reversal of 434370378624 is 426873073434.

434370378624 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434370378624² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434370378623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007819689 + ... + 1007820119.

It is an arithmetic number, because the mean of its divisors is an integer number (2813045760).

Almost surely, 2^434370378624 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 434370378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720139714560).

434370378624 is an abundant number, since it is smaller than the sum of its proper divisors (1005909050496).

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

434370378624 is a wasteful number, since it uses less digits than its factorization.

434370378624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 51.

The spelling of 434370378624 in words is "four hundred thirty-four billion, three hundred seventy million, three hundred seventy-eight thousand, six hundred twenty-four".